Apple ID and password not being recognized by iTunes or App Store

Hi! I just got an iPhone 7 (sick upgrade from my 5) and my Apple ID and password get me logged into my phone but this correct combination is not getting me into my iTunes or App Store so I am unable to download apps or activate iMessages or FaceTime. I type in my username and password and it looks like everything is okay except it still says "Sign in." I have even tried entering an incorrect password just to see what happens and I get the verification failed message. Can someone offer me some suggestions, thank you!!!