Poor Partymember!
Do you have any idea what might have caused your sickness? The constant vomitting sounds pretty similar to what I went through when I got food poisoning earlier this year - I tell you, I couldn't keep anything down, not even a simple glass of harmless-looking water (I knew it was food poisoning because half the people I'd been dining with the night before came down with exactly the same thing, which was a dead giveaway...you're not supposed to get food poisoning from eating vegetable enchiladas, dammit!
). I was also stuck in bed for two days straight. I can't remember my eyes hurting especially, but I was feeling fairly groggy for the next few days - it took just under a week for my health to fully return to normal.
What I'd recommend is basic rest and relaxation. You say that your appetite's returned, but if you start feeling nauseous again, keep an eye on your diet for the next few days (don't eat anything too rich, etc). If in doubt, and if you are particularly worried about your eyes, then I'd recommed none other than what Cassini suggests; that you arrange to see a doctor. It never hurts to see one when you've been through a bout of bad health.
Hope you get better soon.
