I have only heard of shoulder and upper body pain after surgery because of the CO2 gas they use in surgery, some of which is still trapped in the body and has to resolve. I would mention the pain to whichever doctor you see because it might be something else.
I've had a lot of right side shoulder/neck pain also. I'm thinking that mine is from trapped gas (my cyst has caused a lot of gastro issues). I didn't make the connection until I read that trapped gas is almost always referred through the right shoulder. Could your pain possibly be the same?
I had pains in my shoulder and neck after surgery exactly 24hrs after... Eventually it went away...