If you are going to go to school and want to work the F-1 visa is not for you. The problem I have is that it is going to be hard for you to maintain your current status if and when the EB-2 or EB-3 is ever filed. You do not qualify for the in-state rate and you need to contact an attorney to further advise you on the remaining questions you have.
You can study in H1B status as long as you are also employed as per the terms of the H1B petition.
Check with the university for tuition issues as this is based on university and state law policies.
The GC process is complicated if the qualifications enabling EB2 filing were earned while employed by the sponsoring employer.
1) yes as long as you continue to fulfill the H1B requirements 2) the school can tell you this. Consult with an Immigration attorney for best results.
This advice does not form an attorney-client relationship and is merely informative. It should not by itself be relied upon to address a legal concern.
You may study anything in the United States WHILE maintaining a legitimate valid status.
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