I agree. If has still valid H-4 visa can immediately fly back to USA.

As long as you continue working full time for your L-1A employer you could be OK working on a second, part time job.

You will update your DS-160 at the time of the interview.

That EAD is null and void and can no longer be used.

Will not affect in the least bit if you overcome your probation.

You really need to discuss your various options in private with a lawyer.

I agree. In our office it is forbidden for our staff to file I-130ies or any other form with the exception of FOIA or AR-11 online.

It is illegal to work in the US without work permit.

Have seen that many times before. Will not be a problem. Have right doc. proof just in case.

245k could be the savior but really depends when your I94 expired.