If she is not a derivative U.S. citizen and she wants to immigrate, you will need to move back to the U.S. and file a petition for her.

Yes, a FOIA should include that in its response.

No. You only need the 864A if you are relying on both spouses' income.

No, you just need to file the i-90, not any i-864 or any other forms to renew a green card.

A local attorney should be able to take care of it, or advise you whether such reports are available. You may need a subpeona, or you may have to...

There are many different things that would qualify one for a work permit. For example there are asylees, aliens with Temporary Protected Status,...

If you have deferred action, ICE is not permitted to deport you.

I am not aware of any prohibition against it, but you may wish to ask yourself why you would do such a thing.

You can check the processing times at USCIS.GOV.

Proof your wife cheated will not prevent her from filing for VAWA. CIS is precluded from reviewing any evidence from an allegedly abusive spouse,...