No. Got to stop working as soon as I94 expired.

Inquire with the US consulate in Mexico where filed at.

You have to choose - if want to be admitted on AP, then you cancel your H-4 status.

Total days spent outside the country is what CIS takes into account.

While your are presumably still exempt from the cap and a new employer may petition you for H1b the 60 day GP is not applicable here.

Yes, you still can use that noncompliant state ID or DL.

The L2 spouse cannot continue working once the I-94 expired.

No. If you port then no need for any H-1b any longer.

You could be charged and convicted as accessory to a federal crime.

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