policy_wonk

Looks like it's getting a new lease of life thanks to Betsy DeVos!

Wrong forum, there is a criminal issues forum under special topics - post there, you'll get advice.

No it's nearly impossible to do a PhD while working, it is not like a masters where it's a set of courses - it's research in a niche area with lot of uncertainty and time dedicated. Universities won't even entertain this. Try reaching out to admissions or read extensively on their graduate admission pages on part time PhD options. There is no entrance exam - I'm not sure what field you are applying, what universities you are interested in - check their websites for requirements. It's usually GRE/TOEFL/Subject GRE.

"Will it create any problem ?" - No, quit worrying unnecessarily.

Denied on what basis?

Just to give you more comfort, I have been there done that!

There is no impact if H1 is withdrawn, you have a valid EAD status. You don't need H1 going forward, work on EAD till you get your GC.

With initial GC sponsoring employer also there are no hard and fast rules - few months will suffice.

What was the specific query in the RFE?