Question about back pain

Okay I will do my best to describe this problem I have been having in hopes that someone can give me some insight. I have looked all around and have not found any help, but if no one can help me on here my next step would be to go see someone.

So for background, Im not sure if this could be connected, but I have realized I need to work on my shoulder mobility and my T-spine mobility. They are not necessarily bad, but they are not where they should be.

I have worked with an RKC and most of my lifts, technically speaking, are pretty spot on. However, during my workouts I seem to be having this mid-back pain and it is really deep almost feels like my spine, but it is only during certain lifts. For example: When the weight gets fairly heavy, say I am doing double cleans or front squats, the lifts themselves feel fine. I then go to put them down, and it doesn’t matter how I put the weights down. I could drop the weights, squat down and drop them or a deadlift like motion, still the same outcome. When I stand up or after I stand up I get the weird dull pain around what feels like my spine in the mid back. It feels really tight, and then feels like I need to stretch it. I am not sure if this could be a stability problem, or maybe some muscle are working when others should be.

Also one thing I discovered is that when I get this pain and go to hang from a pull up bar it can make it worse. If I am doing pull ups my back is fine, but if I just hang and relax my midsection and lower body the same part of my mid back starts to hurt.

So there it is. Something that is been bothering me for a while now, and just wanted to see if anyone could direct me to the best possible solution.

Thanks :)