J-1 expired on Aug 31. currently in US. hardship waiver approved Oct 26. Can I apply for H1b visa

If cap-exempt employer they can petition you for an H-1B.

Can my mother a green card holder can file for me?

An I-130 petition can be filed. The wait depends on which country you are from , and you’d have to check the visa bulletin. You may not be able to...

My Permanent resident card is expiring on the 5th of november and before that i went to the immigration to get my passport

Renew passport, renew green card, you may even be eligible for citizenship

Should the beneficiary take this with her to the immigration interview?

Depends what type of case it is. If it’s marriage and you have to prove bona fide marriage, yes.

A Motion to Advance is possible, but it is disfavored.

No. But you may need a co-sponsor if your income is not enough.

Will an alien have a problem in immigration process if he is once divorced?

Depends. We don’t even know anything about him (his status etc.).

You were not arrested by the cops. But it’s still a crime. So on the question did you ever commit a crime for which you were not arrested, answer...

Hello. Need help with Affidavit of Support for Adjustment of Status!

Taxes are needed. .

Timing process for motion

Depends. Some good Motions get approved in less than 3 months, but no specific CIS timeframe for it. Depends on case.