Do you have a 10 year greencard. If so, tell her to go ahead and call immigration ... it is too late for her to hurt you.

There should be ICE contact info on your VD order.

Consular Processing (H1 Approved) to COS | Cap-Gap Applied

I tend to agree with you. Until the COS is approved (with an Oct. 1 2020 start date) you don't appear to be eligible for cap gap: ...

Technically it is not legal to use the EAD in this situation. But, you will probably be forgiven with the I-601A.

What should I do in particular situation?

Contact the UNHCR to see if they will issue a laissez passer.

Stay away from this idea. Unless you create a LLC and hire a manager to do all the booking/cleaning.

Process H1B transfer after grace period?

You can't file for an H ... only an employer can do that. Once the H grace period is over, assuming you're on B, an employer cant file a...

NO, don't do it. I can practically guarantee that your major in college wasn't 'food delivery'. If you do this you will have problems in the...

What will happen in this specific situation?

We need more specifics ... please name the countries. Has this person gone ti his/her embassy?

How do I stay in the us of my j1 end date is June 2020 and my waiver is pending?

Depending on when your wife's J-1/DS-2019 expires ... you can change to J-2.