She should get a new I-20 from the new university and it should not be a problem for her to be admitted to the U.S. as an F2.

There is no rule against it, but entering an unexpected port of entry can get you sent to "secondary inspection" for further questions from Customs...

Yes. The only difference is that you will need to fie an I-864 affidavit of support, unlike employers who are not related to your sister.

If you find a non cap exempt sponsor, they can enter the lottery in March, next year, and if selected, then can file an H1b for you. Finding such...

An I-131A is to get back to the U.S. when you are outside of the U.S. It seems to me that you need to file an I-90 and get an I-551 stamp.

She can immigrate and then file for a reentry permit, to allow her to finish her studies overseas. Or she could ask to reschedule the interview. ...

If he left the United States since the date he first arrived in the U.S., then the answer to the question is yes, he did.

I don't understand how you have five years of lawful permanent residence in the U.S. if you self deported in 2019. Did you immigrate then, after...

There is no way to know . Follow up with customer service, contact your congressman, and if all else fails, file a lawsuit.

Yes, she can file the I-485 and attach a copy of the I-130 receipt, and since both the I-130 and I-485 will then be pending, they are concurrent.