I filed both federal and state taxes and am wondering when will the state taxes come through, it's past the estimated date? Is that normal?

Yes that is normal.  

Federal and state refunds come from completely separate entities.  You cannot expect them to arrive at the same time.

To track your state refund:    

https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund