Hey there!
Veena has some videos about appropriate shoulder engagement and placement, which is really important for moves such as inversions (and also pull ups, butterfly, Iron X…). It’s Here: https://www.studioveena.com/videos/view/52462459-db10-473f-ab4a-646d0ac37250

Also, if you’re finding that one movement in particular is doing some kind of damage, you likely need to work on that movement in a slow, controlled, and non-painful way. So, for instance, working on your side-pole knee tucks and being very slow and controlled on the way down. You can do this close to the ground so that full extension of your legs isn’t a problem, until you feel you have it under control, and then you can slowly work your way up to a full standing position. This will also help you learn to engage your abs during your inverts!

Using brute strength, if you have it, can be very rewarding in the short term, and can make you feel like you have accomplished a lot… and, please don’t get me wrong, having that brute strength is fantastic! But, much like having a large dog, if you haven’t trained it to behave properly, your brute strength can pull you along into some unfortunate situations. This is where technique comes in.
I know that most people who use strength tend to “throw themselves in,” and can sometimes go very quickly into and out of moves, because that strength only lasts a short time.
So, my suggestion there would be to begin with the beginner’s work… and slow it down. Like, really slow it down! Take half a song for a plank pose. Spend some time upside down in a CKR and see what happens. Endurance is going to suck and you may not be able to do these poses well at a slower pace. You might feel frustrated, like you’re setting yourself back… so, make sure you set specific and realistic goals! Set a timer and work on doing one move, as slow as possible, and see if you can make it for, or longer than, that timer. Challenge yourself to take the time! Your technique will be forced to come out to play, and your strength will also become incredible!