I would also line up a criminal attorney to advise you are overseas and willing to address your case but need to enter the U.S. perhaps they can...

you can but the most conservative approach is to maintain a nonimmigrant status until you have your PR in hand.

File an AR-11 within ten days of your move.

i would need a lot more information to advise you on this.

I agree it is not fair; but the DOS waiver system is painfully slow -- you are not the only victim.

It doesn't matter too much what you write -- use best address for them to reach you. If you are lucky enough to be selected you may either...

It is a valid status allowing COS to another status.

Not clear from your facts who is the H-1B Principal. Each person owns their own application so if you are the H-4, yes you may withdraw this but...

Most likely the N-600 is the proper way to go but more facts would be needed to confirm this regarding your custody with you father, his time in...

Absolutely this is doable or foreign national will likely qualify for L-1A as an option of a category in which to enter.