You will need to continue to see your ophthalmologist to see what works best for your chronic skin redness. Your descriptions are vague so I don't know if you might have lid margin disease with blepharitis or meibomitis and possibly even acne rosacea. Again, your ophthalmologist should be your best help for problems like that. If everthing begins to look better and you just have skin redness issues - you might be able to work with the aesthetician/beauty consultant at the plastic surgeon's office to try some medical grade skin producst to help with your cosmetic issues.
Finally, I have no idea if the surgery is related to your problems or not. I cannot give you any useful opinion because I don't know your case.
MJK MD