EAD gives you the legal right to work anywhere in the US even though your TPS is pending. So no issues from work perspective. Like edipre mentions, one can even be sponsored for EB2/EB3 green card from TPS. As for continuing school, I am not sure. My guess is you should have maintained F1 if you wanted to continue school. Would advise you to reach out to a lawyer to get accurate advice. Best of luck.