My aunt had two years of parole and completed a year and now has a warrant for non reporting.What is worst case scenario for her

Depends on her immigration status. Immediately she needs to contact a criminal attorney to deal with the warrant.

Can my Dad get denied being a U.S Citizen?

the last five years are most important but they will look at his whole history. Be sure he has the original certified records showing these have...

Im in the US on a F1 Visa, holder of B1/2 visa also, I married a USC who's now pregnant, applied for AOS. May I drop school ?

I concur with my colleague Giacomo. This assumes your marriage is good and you get approved for conditional residence.

My husband ran out on his parole in 2009 n had 3 years to complete. What could happen to him?His time is up now.

check with a Texas criminal attorney who can try and negotiate something for him if he is not a USC.

I am filling out immigration forms i-130a and i-485. What should i put for my occupation history when dealing with the dates?

I would put date arrived here and then explain in the Addendum you were still overseeing a business overseas.

Do I have to file form I-90 (and pay $540) or can I use my new married name when I file I-751 to remove condition on GC?

Up to you whether to file now for a replacement green card or wait for I-751. If you will wait be sure to travel with your marriage certificate.

Generally c(9) but depends on the basis for your adjustment.

Can i travel to the US for vacation on visa waiver while waiting on my F2B petition?

yes just be sure to answer truthfully any questions about whether an immigrant visa has been filed by you or on your behalf.

talk to the international student office at your university and they will take care of it.

it is not likely to be a disqualifying factor but be sure you answer honestly all questions about arrest and citations and obtain the original...