My mother is an illegal alien, I am a US citizen. She did enter illegal to the U.S when she was 16. Can i help her?

Since you are over 21 you can petition for her. Since she entered illegally she will require an I-601 waiver which can now be filed stateside. Your...

I am a F1 international student can I register a company in the United States?

You can start a business and oversee your business you just can't be an employee of your business. But do you have a plan for remaining in the US...

I am missing my Birth Certificate can I file a new i-130 without it?

Ordinarily USCIS wants to see a birth certificate.

I lost my green card and need to travel?

I would suggest applying for a replacement LPR card so that you don't have any problems traveling.

In the form i-765 , there is a question (#15) asking for my “Current Immigration Status” What should be my answer ?

H1B

I agree, use your aunt's. that is very common for students.

When can my spouse quit their H1-B job after me filing the i-130 and i-485?

No, just make sure you file an AR-11 or go online and update your address with USCIS. You are required to do this.

How long after getting a response to the notice of intent to revoke does the USCIS respond?

It depends, what status are you applying for and did you apply for premium processing.

Re-entry permit & missed biometrics

As long as you have a valid visa you should not have a problem entering the US. But since you left prior to receiving the approval of your I-131,...

I got married with a us citizen, i received my fingerprints notice to be taken by next week can i have a social security card

In order to get a social security card you have to have your residency approved. The biometrics appointment letter alone will not suffice to get...