Yes this is possible to do so. Consult with an attorney for guidance.

No but it is best practice to have a copy of the filing.

No it should not as you previously applied.

Best to consult with USCIS directly to inquire about their processing times.

Yes the petitioner must present proof of payment of taxes and should make income as indicated on form I864P.

They may both petition for you but will likely take many years until visa becomes available.

No this is unfortunately not a viable option. Consult with an attorney to explore their options.

Yes, you may file for your father, who is married to a person not your mother.

The email is sufficient notice of the interview date.

Yes the subsequent petitions attached to the fraudulent case will be impacted.