What should I do with my mother's immigration case?

Reinstatement may be an option. Discuss with an immigration attorney.

Please see the answers to your previously posted question. She can use either name.

I recently got married, what last name I should use for my wife on the forms I-130, I-485 and G-325? Her maiden name or my name?

You can go either way and be just fine.

Will USCIS deny an adjustment of status application if the applicant lost his original I-94 Card?

Perhaps. Filing Form I-102 is your best option.

Hello i have question regarding green card?

Your question is a bit confusing but, from what you stated, you have to continue waiting in line. If your parents are still LPRs, you have to...

My F1 visa status is terminated because I was not able to pay my school fee ? Can I stay here in Us marrying my us born gf?

I agree with my colleagues. This is possible but, of course, the marriage has to be legitimate.

Do we need to file affidavits of support (I-864 / I-864A and I-864EZ) along with I-130 filing ?

After

Me and my husband are going to file for adjustment of status through marriage,but have a question about the address we're using

As long as you have proof linking you to that address, you should be fine.

How can you appeal a green card denial from over three years ago?

Refiling may be the only option.

Selected as the best answer

Would the continuous residence (for N400) be broken if I was out of USA for 2-3 trips (approx. 140 days) back to back?

I also agree with my colleagues.