What can/should a lawyer do during an interview at uscis?

We cannot second guess what happened at the interview. That said in general the attorney does not do much talking outside of clarification....

How

please repost your question, I am not clear what you are asking?

Please advise if me or my wife will be called for this program and at the same time we will be called to Judge, how to proceed t

Talk to a qualified immigration atty to go over the specifics of your case.

Please talk to the immigration atty working on the case for you.

I would use more recently executed (signed documents) She can sign and have it expedited to you.

How should I answer in the form for the periods for which I voluntarily chose not to work? Should I say "unemployed"? Thanks!

Indicate all employment and unemployment in the last 5 years.

Hello, an asylee I am helping would like to bring his spouse to the US. What is required? How long would it take?

It depends on whether your application has been granted or pending. Talk to a qualified immigration attorney please.

Talk to the DSO but I think you know the specific restrictions to stay in F1 status.

What are the consequences of changing my employer with a pending / approved H1B petition?

When and if you have an offer from company b, talk with their immigration attorneys.

Proof of US citizenship during AOS interview.

Yes in this case you should be fine.