The I94 validity associated with admission as F1 until D/S.

Additional information is required to fully address your question. In the interim, with your application receipt number, make a specific case...

A USC may sponsor parents for US permanent residency. Consult with an immigration attorney to discuss viable options for your specific situation.

Have an employer sponsor you for an employment-based visa.

Yes, H4 dependent may travel outside USA and reenter with a valid passport only if H1 extension is approved. Your H4 is tied to your H1B spouse.

In general, it is allowed. With a pending I130, you may file an I485 with I765 with the IJ.

This should be a serious concern because USCIS will not make any decision until final court disposition is on file. Computer generated records are...

Attend scheduled interview with the documents you have. The documents you are expecting and don't have, there is not much to be done. It is...

Sometimes the online update does not reflect the actual status of the case. It is useful to follow up with USCIS by other means.

Contact the Mexican embassy/consulate for visas and stamping availability and requirements.