Shoulder impingement, with or without rotator cuff tear, can cause pain in shoulder and in the muscle up the side of the neck. Those are some of my symptoms. I also have pain in the biceps tendon and down the biceps. My pain doc had me given an MRI which showed inflamed bursa and tendonitis.
My docs have given me the max doses (3) of steroid shots in the bursa, so I can't have any more. The first one, given from the back of the shoulder didn't work, but the next two worked for a few weeks. X-ray showed bone spurs. Two arthropedic surgeons agreed that I needed surgery, which is coming up in a few weeks.
My tramadol doesn't touch this pain, but several of the NSAIDS work well, although most don't last very long. I had to experiment with several and came up with Celebrex, but am only allowed to take it once a day because my doc is worried it is bad for the kidneys. You can't tell it's harming them unless you have a blood test. That's why I am not going to just use the Celebrex long term.
The first orthopedic surgeon I saw didn't diagnose the condition because he only has x-rays done, and they don't show tendonitis or bursitis. The bone spurs are small, so he ignored that. I think the second surgeon would have also sent me away, but I took the MRI disk to the appointment.