You can renew DL. They give you a license as if you were an undocumented immigrant but guess what it has longer validity than your I797. In fact, you might want to do that even if you get an approval.
Is the H4 extension filed with H1B? Was H1B extension filed in premium?
Yes it was filed together in premium. But after Apr 1, there is no premium for H4
I got my ead approval today , biometrics was done on may 15
Any idea if I can travel international with pending I539 or EAD?
Yup, my wife's drivers license expires end of Sep and H4 ead expires end of Oct. Biometric was done end of July.