Does your vision look like this?
Mine does, I was diagnosed simply with astigmatism, but who knows. Glasses help me a great deal, but I get the eye burning and red eyes, too. Although, not to the extent you are describing. Sometimes washing my face thoroughly prevents the burning, I'm not sure why.
I also get head pressure, mostly at the back-left of my head. It's been that way for years now (Since I was 17 or 18, I'm 25 now.), so I'm used to it, but sometimes it does make me feel unnerved.
I hope my message has been helpful in some way!