What can cause tightness around the upper eyelids and surrounding eye muscles?

I’m sorry to hear about your congenital facial asymmetry. I understand from your history that you suffered an orbital blow-out fracture, and that you had it repaired. Subsequently you are now experiencing headaches, and vertigo as a result of a shift in your eyeball and eye muscle position? It is very difficult to comment on your specific case, as the causes for vertigo and shifting in your eyeball / eye muscle position are so variable, especially after significant trauma and subsequent repair (which appears to have been performed with a very thick bone graft as seen in your CT scan)!

there are several possibilities for the problem you mention ie redness and slight swelling just on the inner part of the under surface of the eyelids. It may be nothing pathological (sometimes certain parts of the eyes/eyelids may look a bit redder but be normal), or it may be issues like dryness or eyelid inflammation/blepharitis. Without knowing what the problem is for sure, it is difficult to know what else to do to make it better.