KayDeeCee

If his most recent pay stubs show his income would average out to be enough, then you would not need a co-sponsor. However, since it is so close, and he had not filed taxes, he may wish to go ahead and have all the documents ready from his mother just in case they would ask for a co-sponsor in your case.
Your dad would fill out the I-864, and your mom would fill out the I-864A. Their income would then be combined on your dad's I-864 to reach the 125% level for their household size plus your husband. Relationship to sponsor, #8 of the I-864A: mom checks c. and spouse. Part 2 #13 is filled out by your dad, your husband would be listed on line a, and he would sign and date it on #14. Part 3 is where your mom would fill in her info and sign and date it.
If your father or mother qualify on their own for their household count + your husband, then only one of them needs to fill out an I-864, even if they file taxes jointly. The I-864A is only used when a household member's income is needed to be combined with the one filling out the I-864 to reach the 125% mark.

Good luck! I hope it all works out well for you

For the visa fees, yes. Not the petition. OP is at the petition stage.

The VISA fees changed (paid at the consulate stage), not the PETITION fees (paid at the USCIS stage).

I-134: Most consulates go by the instructions and guidelines for the I-864, even when using the I-134. So yes, you will need a letter from employer, most recent year's tax transcript and a few months worth of your most recent pay stubs to prove your income.
If you need a co-sponsor, and your consulate accepts them, you can ask any USC or LPR residing in the US to co-sponsor for you. They will need to fill out their own I-134, provide all the same documents as you do, plus proof of being a USC or LPR. They need to make 125% of the poverty level for their own household size plus the beneficiary: http://www.uscis.gov/files/form/i-864p.pdf
All your dependent children children under the age of 21 count for your household, not matter where they where live, or if you claim them on your taxes or not.
DS-156K: The evidence of engagement is a letter of intent to marry. You need to write up a new one for the consulate. Yes, evidence of financial support is your I-134 and supporting documents that go with it.
DS-156: Yes, you can print out the form and fill out with a pen. Just make sure it is all legible.

No, they really don't. Children need good, loving supportive people in their life to grow into well rounded individuals. Living in a conflicted household can emotionally cripple a child and result in anger issues, self-esteem issues and all sorts of other problems.
Are you saying that by simply spawning a child that person MUST be in said child's life? Or are you saying that at least a male and female parent must be in the child's life because a biological connection does not a parent make. Also, by your logic if a parent passes away the surviving parent must IMMEDIATELY find a replacement parent because only one parent is bad for the child.
It's a complete fallacy that children raised by single parents are less well-off by only having one parent. It depends ENTIRELY on the type of parent/s and the situation the child grows up in (including school and peer group).

CONGRATULATIONS!!!

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Wishing you continued good fortune on your immigration journey.
Gracias.

As Vanessa&Tony already stated, the CBP officer was the one confused and wrong. The I-94 should have been issued for 90 days, not 7. The I-94 is not based on the K-1 visa expiration date. They had no clue what they were talking about. You should have asked for a supervisor. You should go get it corrected, tomorrow. You need it fixed quickly so you do not have any issues with getting married and adjusting status. Here is the list of deferred inspection sites: http://www.cbp.gov/xp/cgov/toolbox/contacts/deferred_inspection/
You COULD just get married before it expires and then file AOS when you can, but if you go that route, I would still get the I-94 corrected before filing for AOS. They made a mistake and they should fix it.

That, and this thread is 2 years old. The OP was approved back in Sept. 2010.

This is incorrect.
For #10 they want to know the date you submitted the I-129F petition. You can use the date from your NOA1 receipt.

This is not true. You can enter the US and get married and leave when your visit time is up. They can then file for the spousal visa.
You will need to show strong ties to your country and make sure they know you are returning home. You do not have to even say up front you are getting married, unless they ask you directly. You just cannot enter with intent to get married and STAY.

As Vanessa&Tony already stated, the CBP officer was the one confused and wrong. The I-94 should have been issued for 90 days, not 7. The I-94 is not based on the K-1 visa expiration date. They had no clue what they were talking about. You should have asked for a supervisor. You should go get it corrected, tomorrow. You need it fixed quickly so you do not have any issues with getting married and adjusting status. Here is the list of deferred inspection sites: http://www.cbp.gov/xp/cgov/toolbox/contacts/deferred_inspection/
You COULD just get married before it expires and then file AOS when you can, but if you go that route, I would still get the I-94 corrected before filing for AOS. They made a mistake and they should fix it.

No. Wrong. you have 6 months to enter (sometimes shorter depending on your medical) and THEN 90 days to get married. The K1 visa is invalidated on entry and your status is then controlled by the I-94. You have until the 90 days AFTER ENTRY to get married, the 6 month visa is how long you have to ENTER.
Seriously, CBP error. Call first and then go to your nearest POE to get it corrected.
Here it is from the State site: http://travel.state.gov/visa/immigrants/types/types_2994.html (emphasis theirs)
Here it is from USCIS: http://www.uscis.gov/portal/site/uscis/menuitem.eb1d4c2a3e5b9ac89243c6a7543f6d1a/?vgnextoid=640a3e4d77d73210VgnVCM100000082ca60aRCRD&vgnextchannel=640a3e4d77d73210VgnVCM100000082ca60aRCRD (underlining mine)

Since this passport had a K1 visa in it, it would be a foreign passport. You replace those at a Consulate or Embassy of THAT country. The US Post Office cannot assist in this matter.

I agree. I think they would find that rather odd. No need to check with ICE before traveling with your valid, legal green card.

Yes, there are fee waivers listed on the USCIS site. It is not going to be approved though, so why bother with it? You cannot ask for a fee waiver to adjust status from a K-1. Why would someone want to file a waiver to say they cannot afford the $85 biometric fee portion of the total amount they have to pay? I do not follow the meaning and logic of the statement to 'keep in the system'.
Sounds a lot easier, and more practical, to just wait until you save the $1070 to file. Then there will also be no extra questioning as to whether the intending immigrant will become a public charge, since you never tried to file a fee waiver stating you have no money to pay.

You cannot be granted a waiver for the filing fee when adjusting from a K-1 since it requires an affidavit of support for the intending immigrant. They want to know how you can support them, if you cannot pay the fee.

If she is planning on using her new married name from now on, she should have filled out the AOS forms in her married name. It takes months and costs quite a bit to change the name on the green card after it is issued. If you get an interview, you can explain it to them, and they may be able to change it for you there so the card comes in her married name instead.

You don't put anything. As your applying because of AOS you don't include any attachment (AOS is your explanation and as you're filing concurrently you don't include anything - if you filed AFTER you filed for AOS you would include the AOS NOA1).

If you notice, just you posting her story here in a thread in an online immigration forum has led to scrutiny, disbelief, and turning on the victim. This is one of the reasons WHY rape is so under-reported.
I think you should just follow pushbrk's advice and find a really good immigration attorney.

Those are not needed.
I would have a look at Vanessa&Tony's post on the subject. It has a very understandable list of what is needed.

Your K-1 visa was null and void the moment you used it to enter the US. The expiration date on the visa is just the amount of time you have to use it to enter, typically 6 months. You received an I-94 when you entered the US. It was good for 90 days, and that is what your status in the US is based upon, not the K-1 visa expiration date. Once the I-94 expires, you begin to accrue overstay. Filing for AOS puts in a period of authorized stay and the overstay clock count will stop at that point. You are just sort of in limbo at the moment while you wait for your EAD and green card. As the poster above stated, you can use your NOA from filing your AOS to show you have lawful presence in the US while you are waiting.

If you notice, just you posting her story here in a thread in an online immigration forum has led to scrutiny, disbelief, and turning on the victim. This is one of the reasons WHY rape is so under-reported.
I think you should just follow pushbrk's advice and find a really good immigration attorney.

You will also need to include an explanation letter for not filing taxes and you will need to cite the legal basis for not filing, ie "according to IRS rule Y, people who make X are not required to file tax returns".

Exactly. A K-1 that is adjusting status does not need another TB test. That is part of the medical, and if you had your medical within the last year, another TB test is not needed. The TB test is required for those that are required to get the full medical when applying for AOS. This does not apply to a K-1 who recently underwent the medical in their own country.
They do an x-ray at the overseas medical because it is a better indicator of whether or not a person has TB than the skin test, since the skin test can give off false positives. If the x-ray from your medical showed you did not have TB, then why would you need the lesser reliable skin test? My husband had no extra blood work or TB test, just the vaccination transcription(for $25) and was also approved without an RFE.