Generally USCIS has been interviewing people from the travel bar countries, even if there is a pause on adjudications. Yes, mandamus may help.

If the visa is no longer available, there may be a chance, hard to say. Perhaps the visa will become available again soon. and she can file...

Any immigration lawyer should be able to help you with that. You can check aila.org for local practitioners or check your local bar association.

I do not see any risk on traveling to Mexico with a Mexican passport and an unexpired green card, based on the fact that once you filed for asylum...

If she is married to a U.S. citizen, yes, she can file for a green card based on her pending I-360. With or without the the prima facie notice.

I do not see how doing the same job for the same employer at the same location would violate one's H1b status or require any amendment.

You need to file for a 212(e) waiver, which could be based on hardship. It could be based on your fear or persecution, or perhaps a 'no objection"...

Since you requested an extension of status and you have not yet received it, you may write that your request for extension is pending.

Contact customer service and if that fails, your senator or congressman for help. USCIS may claim you never did the biometrics and could deny,...

It is true that there is a pause on applications for the banned countries right now. You will get a receipt, and an interview, but as of now, no...