[DACA & Advance Parole] Chances of being denied re-entry into the US after traveling abroad with AP?

The particulars of your case do not indicate a problem.

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What can I do about immigration fraud?

You have a catch 22, in that if he is deported there is less chance he will pay the child support. But given his character, he isn't going to pay...

Are there different kinds of petitions? If so, what are they?

There are indeed many. Respectfully suggest you google it.

I130 approved but over stay 25 days coz of medical and paperwork completion.. 485 adj of status is not filed.

The stay by your parents is not going to be an issue. However, the issue of intent to immigrate based on a non immigrant visa might.

[DACA & Army] Will enlisting in the army create potential problems when I travel on Advance Parole and coming back into the US?

No it does not apply to DACA holders as long as you are in the MAVNI program.

[DACA & AP] I had an MTA citation that has been paid off. Will this create problems when I try to come back into the US?

This kind of issue is not material assuming you have no other inadmissible problems.

What documents can be used to prove name change?

What you have put together is a reasonable response to the question.

I have been scheduled for a master hearing court date on my asylum case on nov 16, do i need an attorney?

Attorneys do this kind of work all day every day. You are about to do it for the first time and are even on this forum. Yes, you should get with an...

Extending B2 visa

You will not be out of status while pending your extension.

Do juvenile convictions need to be declared for adjustment of status applications?

USCIS is interested in all convictions. Because they have the capability, it is possible they will find out as they can go back as much as five...