I do not believe the form asks if you have been deported from a country other than the U.S.

A person is permitted to stay in the U.S. while they have a pending, timely filed application for extension or change of status. Timely filed...

It would be very abnormal to transfer an EB3 visa petition, or adjustment of status to an asylum office for someone who never filed for asylum.

It seems to me that your prior employer would need to file a new I-129H if you have ported to a different employer.

Is she a citizen of Haiti? TPS was granted to Haitian nationals as well as people who last resided in Haiti.

You should follow what the state department requires.

What could the court do? Order them to file it? I'm sure they will take care of that.

It depends on what you are trying to do. Perhaps you are asking if you need to register your divorce in the U.S.? There is a way of "enrolling...

Yes, you can notify NVC about all of his dependents.

If your spouse in the the U.S. without status, most likely CBP will use it as a way to get your spouse to present himself and put him in removal...