Timona

Just curious..in your application to USCIS, did you mention that his parents are alive, in US and without status?

Just curious..in your application to USCIS, did you mention that his parents are alive, in US and without status?

Are the Parents illegal?

It is not a problem with your actual status. That was my point.

It is certainly long, but not the record.
Is this a divorce waiver case?
Did you move since filing?
Did you apply for citizenship?

"
C. Visa Waiver Programs
A noncitizen admitted as a nonimmigrant without a visa under a Visa Waiver Program is barred from adjustment of status.[8] Similarly, a noncitizen admitted as a nonimmigrant without a visa to Guam or to the CNMI is barred from adjustment of status.[9] 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."

The K-3 has been virtually dead for a long time.  People apply because it is still "on the books", but almost all K-3 (I-129fs) are closed administratively.  They continue as CR-1 spousal visas.

It’s obsolete as It was replaced by the CR1 visa. There are some unicorns that get approved here and there but vast majority are denied. Most people file for it along I-130 petition for the CR1 to see if the K3 denial nudges I-130 approval. 

This is hard to predict, but from what you said, it appears she has fairly strong tie to Indonesia.
I would put self financed.  You can work out the financials between yourselves afterward.
She has to disclose any relatives currently in the U.S. As to purpose for the trip, it sounds like she is taking a vacation.
Good Luck!

They sought entry presumably on a B
 
They were inspected
 
They were admitted
 
They overstayed
 
They are being petitioned by a USC child
 
Overstays are forgiven
 
There are no other issues
 
That is it

I can’t imagine those will be issues.   The DOS is very well versed in the identification of gang tattoos.

I don't know for certain, but NVC is more of a clearing house to make sure the required documents are uploaded, it does not make decisions of visa eligibility.  I agree with @milimelo, once the case gets to NVC, you can delay it indefinitely as long as you make contact (such as accessing your case) at least once every 12 months, so wait until you are close to fulfilling the HRR before proceeding, and the consulate will make the final decision.
 
Good Luck!

Delay submissions to NVC until you're within 5-6 months out from finalizing the 2-yr requirement. They will not issue an immigrant visa until 2-yr HRR has been completed.

It takes 4-6 weeks from delivery to receive receipt in the mail. You're still within normal processing times.

There's nothing a lawyer is going to do. She has to pass the test. A lawyer won't help her skip it

There's nothing a lawyer is going to do. She has to pass the test. A lawyer won't help her skip it

@sean126 apologies. I got things confused. 

How'd he get his US citizenship?

I agree with the others, work more on her English skills, many community colleges have very reasonably priced ESL classes (my wife used those), and then file a new N400.
 
Good Luck!

I second working on her language skills and filing a N400.

There's nothing a lawyer is going to do. She has to pass the test. A lawyer won't help her skip it