I know this shit. I have the same issue, pain comes from rot cuff but it really is inflamation between ligaments.
I had this 6 months, did every rot cuff execercise but nothing got better, so i went to see a doc and now i got bad chronic inflamation. Got a shot between them and see if this get better, if not i have to have surgery.
Stop the bench and OHP. They didnt hurt at all doing them, but obviously didnt allow healing to occur.
My shoulders only hurted when brining arms up beside me.