What documents do I need to have to go and return to the U.S without facing any trouble?

First do not renew your home country passport. That can lead to problems. Do renew your travel document. It wil take 4-8 weeks and is good for one...

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Is " anything " I can do to have my interview here in US ? Or no way to do it?

You will be required to return to your home country for the interview.

What are our legal options? Should we just not bother trying again for a non-immigrant visa? She doesn't want to go back

While your assumptions are understandable, you would be better served to review the concern they have and then deal with it. Chances are it is not...

How can I prevent be deported.

Any time a felony conviction is involved, you are best advised to seek local immigration attorney input.

Do i need to fill a I-864a or any document for myself if my wife (my sponsor) and I are submitting a JOINT tax return?

You do not need to file an I-864a in this situation.

Can I speed up asylum process after a year has passed?

Not unless you have a humanitarian reason. The backlog is great as are the denials.

Does a DACA qualify me to apply for scholarships that have requirements such as permanent resident, legal resident, or citizen?

DACA recipients are not the same as immigration status, so based on your facts you are not eligible. But I would contact them anyway, especially if...

Can i file an asylum ?

Just being from Syria does not guarantee approval, but anyone can file for asylum, it is getting approval that is the problem.

How long do I have to wait after receiving my green card to get married and submit an application for my husband?

There is no waiting time to getting married. However getting your husband a green card will not be easy as he entered the US illegally.

You lose the F-2 status the same day the divorce is final. There is no grace period.