Hmmm. I know that alot of vomiting can cause the throat to be irritated, and that can make the vomit appear pink- tinged with blood. BUT, that to me sounds like the lesser of the problems right now. Vomiting AND diahrea is a diaster for dehydration. A icky eye to top it off? I think there are way too many issues here to rule out anything as simple as a food allergy. I would take him to a vet immediately.

Good luck, and keep us posted.