I’ve has pressure feeling in my neck area for years now. It’s very disturbing, uncomfortable and hard to live with. I hope you’re feeling better real soon.
I'm sorry, reading MRI is not my best virtue and we don't, currently, have anyone on the forum, qualified to do that. Do you have a written report that you could post, so we can see what the radiologist said about your thyroid? If you can post the report, we can, then, give our opinion...
Has your doctor told you your thyroid was swollen or that you have nodules on your thyroid? If so, this could cause swallowing issues, though I've never heard of it preventing one from burping properly.