The doctor does respond through the secretary saying that he needs to take over the counter drugs and he says more than one time that they do not work for him.
I don't remember exactly what the secretary said so I take your point on that one.
Again, this is not about pain, he wants the prescription meds because he's addicted or getting addicted.
It's not established that he is addicted. That seems to be your inference. He keeps saying that he is in pain. The dev is clearly setting up an addiction arc, but he doesn't seem to be at that point yet.
And I don't know where you're from, but if you leave a doctor and find a new one then they can easily look up your medical records. And him forgoing the team clubs doctor might start some suspicion which he wants to avoid as a new head coach you he even says all of this.
And what does he have to hide from a new doctor? that he asked for meds after he ran out? Even if he is addicted that's all the more reason why he need a doctor's help. Doctors aren't in business of leaking their patients confidential information to the press.
So he does something stupid, getting impatient and buying the drugs off the street, which he doesn't even take right away. (which addiction makes you do)
Again it isn't established that he is that desparate.
So every single thing you have said is addressed directly from the game.
Nope.
One more thing, this game called REBOUNDING - which means trying to recover, LIFE - who's life? The MCs. We are following him through the troubles he's having in life from family to trying to find a new career and him dealing with the fallout from his injury. You can't complain when this is literally what the game is about.
I can complain because it makes no sense. For me Drama has to be handled intelligently and not just done for its own sake. The Rebounding Life title can refer to many things including the end of his career, his injury, the failure of his marriage, etc. That doesn't mean that he has to have a drug addiction and that I have to agree with it.
Obviously we see things differently and we wont agree on this. You do you.