Swelling of upper eyelids is a symptom of mono. I know someone personally who had it. It doesn't last long, though, maybe 1-2 weeks.
Well, I've never heard of mono making eyes swollen, but that's not to say it can't happen. I wouldn't worry about the swollen glands only being on one side, as that probably won't last (Either it will go down, or the others will swell to match!). I think antibiotics might possibly help with the swelling, but you'll have to go through your doctor for that.