If my brother is deported for 10 years for violating probation is there any way he can come back?

You really need to have your family talk to an attorney about everything. But I think it's great that you're 14 and found this site!

Naturalization and English Exemption

Yes. Your mom qualifies to be exempt from the language requirement. So you are good to file without the medical waiver.

N-600 requires that you appear at an interview. So it's hard. But as to can you file it, sure.

Is it better to file an I-751 to remove conditions on a GC or surrender the GC and reapply for a new one based on a new marriage

You may as well give up the card if you are going to live abroad, but you should see an attorney and let them review all the facts.

Applying for L2 while on approved L1 extension

Of course!

Traveling after applying for green card

Congrats on the marriage. No she cannot travel on a visitors visa after you file. She would abandon all her paperwork. You need to obtain parole...

I-94

Small white card in your passport. Shows entry date and expiration date.

I am married to American citizen. We are missionaries in a religious organization out of USA. Am I elligible for citizenship?

Do you have a green card and if so how long?

Hi I am an international student under an F1 visa trying to find a solution to work outside campus until graduation.

Most of what you propose is unlawful I think you should check with the DSO.

CAN I RE-ENTER US WITH MY OLD EMPLOYER H1B VALID VISA, WITH NEW I-797 EXTENSION APPROVAL??

Yes you can. Yes I-94s to the end of the validity period