You would not file a I-539 to extend your H-1B. Your employer must seek the extension.

If you attempted to unlawfully enter or an expedited order of removal was entered against you, there are other bars that are applicable. In your...

To preserve your appeal and try to prevent any unlawful presence from accruing, it would be best to file the appeal with the new information.

It is important that you secure competent immigration counsel to assist. Feel free to contact me, Raymond Lahoud.

Yes and yes are the answers to your questions!

You must file and it must be received by USCIS before your authorized stay expires.

You will not be permitted to enter.

If you are not authorized to work, you should not be collecting unemployment compensation. States, however, have different polices.

You will need to enroll in the new school and the program.

You should update your address with USCIS.