Can my US citizen grandmother petition my mom?

Your mom is over 21 so it would take years to process even if your USC grandmother petitioned for her. Also, your mom cannot be illegal.

Permanent greencard

Through consular process, yes, it has been known to happen.

I agree with my colleagues. Hire the services of a lawyer to properly prepare and file for you.

Will my US citizen daughter have a hard time petitioning me?

Bad idea to leave the country now.. if you have no issues of admissibility, she should have no problem petitioning for you when she turns 21.

You would just be barred from reentry for 10 years absent any sort of waiver by a qualifying sponsor.

Will f1 reinstatement affect my GC application?

Reinstatement process should not affect your GC application through your USC fiancee. If you have other issues like crimes, arrests, etc. --...

How long will it take for me to give my greencard

Years, unfortunately.

Can my wife apply for US citizenship by herself, even though we are married for 13 years?

Yes she can

Consult a lawyer one-on-one

H1B multiple filings special case

Simultaneous H1Bs are allowed -- they are called concurrent H1Bs. You can either file for the remainder of the 6 years allowed or file for a whole...