milimelo

What are you confused about? Make an account on IRS.gov, download your tax return transcripts, print them and bring them to your interview. Took me a total of under 15 minutes to get mine the other week. 

- Sounds like it shouldn't be a problem, but it has some small risks, or even risk of delays, since you said you can't get the documentation. 
- If the court records are not available, you will need to provide a letter from the court as such.
- Providing your own FBI background reports will be useless and not helpful. Just wait if they send you an RFE for any additional info.
- The FBI keeps a database of all expunged cases, and USCIS has full access to it. I think you will need the court records to prove the disposition of the case is not guilty.
 
You could file for a CR1 instead and avoid the I-129F questions,.  

I agree with@Crazy Catbut I will do it in reverse. Essentially apply online right now to renew greencard. With online filing you should get a receipt usually within a week or less. The receipt will grant automatic 24month extension. The greencard together with the receipt should get you to board a flight with less hustle.

If working is important to you the K1 is the wrong way to go.

The I-864 is not a blank check.  Yes, it is enforceable.  However, your obligation is not to provide 125% of poverty income, it is to provide the difference between their income and 125% poverty level.  You state that your wife works.  That means she has already demonstrated her ability to find gainful employment, and possibly a good measure of her earning capacity.  Most cases of I-864 enforcement consider the earning ability of the sponsored person, meaning if they are lounging around when they are qualified and capable of working, the judge may award them nothing.  If a working person decided to quit their job in the hopes of getting income through the I-864 during divorce, I think they will be disappointed when they find out that they need to go back to work. 
 
The length of the marriage and age of the parties is also considered.  For such a short marriage alimony seems unlikely to me, unless her standard of living has gone down drastically, but even then, the short marriage will probably trump that.  
 
As others have already said, nothing about the I-864 is automatic.  It must be specifically presented in a divorce case for it to apply.  It's definitely not something you want to discuss with her.

Looks like the priority date for F2A category is 22JUN20
 
Meaning you CANNOT adjust in the US for another few years, until they start processing cases file in December 2022.
 
 
Also, what about I-130 for the child? Is it on file already?

For starters, don't try to claim child as your own as that will not end well. So she shouldn't list your last name on BC. Get the father unknown BC and then K-2. 
 
She'll have to figure out the passport for the child - hire a local lawyer knowledgeable in these things - I'm sure the lawyer can research the local laws for parentage and passport issues. 

Couple of things.
-If they hadn't received the RFE, you would have received a denial by now. 
-Tier 1s are useless. Glorified drive thru operators basically, so don't take anything they say as gospel, so don't waste your time on the phone. A tier 2 may be able to give a little more info, but don't bet on it. 
-You could try an infopass, but good luck getting one of those in a timely fashion. 
-Pay no attention to where the office is. I'm in NY, my last one was filed in phoenix, had an RFE from MO, and was adjudicated in Florida...presumably where Stevie Wonder spends his winters. 
- If it has been lost, a denial is not the end of the world, especially if it is their error. Keep your proof of delivery safe.
 

So sorry you're in this limbo.
Before sending the package again, and in order to avoid confusion, I would contact a Senator first.
 
Also, where are you now? Are you even close to the Field Office in Fresno?

For starters, don't try to claim child as your own as that will not end well. So she shouldn't list your last name on BC. Get the father unknown BC and then K-2. 
 
She'll have to figure out the passport for the child - hire a local lawyer knowledgeable in these things - I'm sure the lawyer can research the local laws for parentage and passport issues. 

No.  That would violate the conditions of your visitor privileges. 
 
Can My Child Attend School in the US on a Tourist Visa? (ailawoffice.com)

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VJ Moderation 

She would have been told why her F1 was denied.
 
Australia has a J1, that is a coincidence.
 
Most here would suggest you marry and file an I 130. Marry in Australia or Brazil. Well anywhere it is legal and you can meet, or go Utah online.

A green card is for living in the U.S., for all intents and purposes you have not done that. In order to qualify for citizenship, it's like everyone else said, 4 years and one day- BUT you MUST spend the majority those 4 years here in the U.S., no more long absences. Best of luck.

4 days and 1 month if you want to be bulletproof and don't spend money on lawyers etc

You chose your path.
 
A re entry permit has nothing to do with this, that is about maintaining your LPR status.
 
I must admit I thought it was 3 years and one day but USCIS have a good guide.

Spouses of Green card holders are barred from adjusting status on VWP/ESTA:
 
 https://www.uscis.gov/policy-manual/volume-7-part-b-chapter-7: "A noncitizen admitted as a nonimmigrant without a visa under a Visa Waiver Program is barred from adjustment of status …These bars do not apply, however, to those seeking to adjust status as an immediate relative of a U.S. citizen or VAWA-based applicants."
 
Consular processing is your only option at the moment.

She needs her citizenship revoked, followed by permanent deportation to lovely Somalia.  Let her join the parliament, or the dictator's court, there.

I will add that it is very common, for the visa applicant to either know well, or be pretty sure, why the visa was denied.  It is less common for them to be open and honest with the petitioner about it.  I don't know what's true in this case, but I suggest a "Come to Jesus" talk right away.

Odd question. You should be able to provide samples of the work you've done and also to do any task-based test (if that's part of screening process).
 
 

Correct. If you have pictures with the child - like all three of you together, add it in but not required.

Yes, you need to show the connection - that would be via marriage certificate. 

1.  They marry.
2.  Your son files I-130 for them to start the spousal visa process.
3.  They return to UK before the end of authorized stay.
She cannot legally stay in the US and she cannot adjust status since she is here on VWP (and your son is not a US citizen). 

Well it's pretty easy - either she gets on the plane and you then provide proof she's in the US like an ATM receipt, purchase of something, medical appointment, voter card, or she shows evidence that's she's already looking for a job in the US (has an interview lined up for a certain date), has packed out and given notice at her current residence, has gotten quotes from movers to move what she's accumulated to the US...  

It's 90 days (which does not usually calculate to 3 months). You may use the online USCIS Early Filing Calculator to find the exact date your 90 day window opens. 
You'll have to check the issue dates on all of your GCs.
If they were issued within 90 days of each other you can file jointly on one I751 but you'll have to pay the various separate fees for biometrics depending on their ages.
Beyond 90 days, they'll be required to file their own I751s.
Reading the I751 instructions and the webpage where you find the form (all bullets) will be helpful to you.