What happens after arrest by the immigration seeking to revoke permanent residency

Next is removal proceedings, at the immigration court.

Immigration, Petition for Alien Relative.

It is up to her government to correct her passport.

Probability of being able to get a visa again after overstay as a minor?

At least 50/50. You moved back to Mexico, are going to school there, and have sufficient finances to pay for your trip.

Selected as the best answer

How and what can I file to have my husband released from immigration custody? possibly get a release on own recognizance

Contact ICE or hire an attorney to do so. Otherwise, file a motion with the judge for custody redetermination.

I-751 interview process..

Normally they would send a notice of intent to deny first. If they are not satisfied after the interview, they may send the file to...

Voluntary depurtue

It depends on the amount of time from USCIS' determination that you were not in status, and the judge's order granting voluntary departure. If...

H1B visa transfer from Company A to Company B?

I do not understand, your employer filed for you to change status to H1b and it was granted, you should be an H1b.

Immigration judge I-751

You need to plead to the notice to appear and request relief from removal. USCIS will not forward any documents or applications to the judge at all.

Can a person travel abroad while green card (marriage based) case is pending?

Yes, you can travel if and when you receive an advance parole document.

J-2 pending, can I cancel it and apply for my own J-1?

You can file another application for change of status to J1.