I doubt it has anything to do with the disk. I can't find any solutions, only others posting with the same problem. One suggestion I have seen though for people who can't select certain options in character creation is to make sure that you are not touching anything on the controller as DAI starts up and loads games, especially the analog sticks, . It seems DAI may have its own controller calibration, so if you are holding an analog stick to the right, it calibrates far right as if it was the center of the stick alignment. So when you are not holding the stick it actually registers as if you are holding the stick halfway to the left.
At any rate, here are the threads I found, and it seems even PC has the issue, so it seems to be an issue with controllers, not the system you are playing on:
http://answers.ea.com/t5/Dragon-Age-Inquisition/2-PS4-DAI-Bugs/m-p/4085545/highlight/true#M23661
Not exactly the same but menu issues:
