Yes, your long head biceps - the one that connects to the labrum. I tore one about 10 years ago. It's not unusual, mine was not painful, I din't even know it happened. The only symptom was the appearance. Everything else in the area sorta covered for it. I kept paddling right thru it.
Skinny guys like me that did throwing sports, basketball and hockey often have damaged shoulders. Mine were all minor, only one broken bone, no severe rotator damage. but plenty of minor dislocations and tweaks.
I never had pictures taken. Labrum and rotator cuff damage is common knowledge if you dig deep enough into the internet. I"m almost certain I have a smashed disc in my lumbar. My right thigh got sliced to the bone really bad in a skiing accident (missed the sciatic nerve by a whisker). My left collarbone is still in two pieces, right shoulder works pretty good, but it's gritty. Everything heals in time - to a certain extent. We all adjust and keep moving, with a little hitch in our giddyup.
Don't be too hard on yourself if your stroke isn't the perfect K-1 flat water stroke, particularly in the ocean. A blade in the water is not all about forward motion and lift.
Look at Walter Chalupsky's form on this downwinder. (He's the one in the V-9) He's a very experienced ocean ski paddler. He is doing a lot of control work at the end of his stroke - that's why he keeps the paddle in the water so far past his hips.
He's more focused on his weight balance - trimming the ski on the wave. That's ocean paddling. Starts at 10:50.
Recovering from a shoulder injury in the ocean is going to require a lot of discipline not to pull too hard into glides. Good luck.
I heard something pop in my right shoulder about 5 years ago. I was lifting something heavy at work. My massage girl said sometimes thats just an old protective scar releasing because the body thinks it's time - and the rest of the shoulder is ready to cover it. She was right. It hurt a bit, but not enough to stop working. I took about 6 months off the ski (it hurt to paddle) and came back stronger than before. Shoulders are funny that way. Very complex joint.
I don't see her anymore, I'm all fixed up. I went for years and grilled her incessantly about anatomy. I also dove deep into the internet. One thing I remember is that she said the teres minor is a sneaky one. That one would hurt like a bastard when she worked it. She said it needs to release or the entire shoulder will remain tight.
She is a wizard at releasing hidden spots average people never think about. I strongly suggest you get a good massage therapist to get in there and find out what may be out of balance. The key to healing is getting blood flow restored, bones aligned etc. It's really complex. But not for the pros. It's their job. They can feel where that scar tissue is, sometimes ripping it out - for our benefit. They know.
The body naturally wants to re align. It wants flexible joints and long, supple muscles. Our DNA will naturally rebuild damaged areas if we give them enough time. The trick is to stop submitting the area to the same battering that made it collapse in the first place.