Contact the local DMV for guidance.

Can I travel to different states with my TPS documents?

Yes, this is sufficient documentation for domestic travel.

My father has adopted my niece months ago. If I petition* him, will my niece who is underage be automatically included in it?

No, but your father can petition for the adopted child after becoming a permanent resident.

No unfortunately not based on information provided. Consult with an attorney for other options

What can I do?

Yes there is no harm in requesting this although there is no guarantee that I will will be done.

Wait time is until interview whereas completion date is completion of case.

You will need to consult with a family law attorney for guidance. Good luck.

The previous I485 should have been withdrawn but you may file another I485 based on the second marriage.

I130 petition from my father got approved ,How can I schedule an interview if im already here in the US? I entered US legally.

If you are and have been in valid status, you may be adjustment eligible. Consult with an attorney for guidance.

USCIS code asking for evidence (8CFR) 103.2(b)(8)(iv)?

Best to consult with an attorney for guidance on how best to respond.