You may apply for adjustment of status for her but that cannot have been her intent upon entry which is not the legal way to apply for residency....

How long is gonna take to bring my new spouse into United States ?

If the marriage is in good faith (and you can establish this) and the divorce is final then the process would be the same as any other for consular...

For us visa we need join sponsor so my relative already sponsor 1 person 1 year ago so still my relative can sponsor??

Depends on how many people that sponsor has previously sponsored and their household size. Consult with an attorney for further guidance.

WouldUSCISgrantmeUScitizenshipthrough marriageif I fillup doc.through Same person I accused of battery in a pendinU-visa case?

The marriage would be questioned given the pending U visa case. Consult with an attorney for further guidance.

Can the mother of a US Citizen petition an I-130 while her tourist visa is still valid?

Yes the USC adult child can petition for the mother residency. Consult with an attorney for guidance.

Waiting on i-751 processing, extension that was given to me is less than current processing time on USCIS. Worried..

Yes you will get another extension if the case still isn’t adjudicated by your current status expiration.

Can I use my use passport if I lost the naturalization certificate?

Yes you may use the passport as proof of status but you will need the naturalization certificate number on the I130.

Is my lawyer breaching the contract?

You should communicate directly with your attorney to understand where you are in the process.

I have not received my refund from a third party website for my flight cancellation (Almost a year now).

This is not an immigration question and you should seek advice from a general practice attorney.

How do I fill in the Place of Birth §10 of the DS-11 form?

You should use your best judgment as to the place of birth based on the history.