I also share some of these allergies- shellfish, tree nuts, milk, latex, iodine, cantaloupe, and some other things that I'm still trying to narrow down. My reactions are also all skin based, besides tree nuts and shellfish- those cause anaphylaxis distress. I have some scars on my body from contact with these things =o Luckily I have pretty limited allergies compared to lots of diabetics out there. Haha I'm allergic to dogs too =p so I can't visit my dad for too long.
I take multivitamins, probiotics, and calcium to keep me going with some of things I'm missing. I stick to olive oil for making food tasty =) When cooking I look for foods with LOTS of flavor, peppers, olives, mushrooms- I'm turning into a spice queen lately. Actually studying other cultures eating habits really helps with dealing with allergies. There are lots of people who have written about how their cultures eat. Studying other ways of living/ eating are at the top of my list how to prosper with allergies. It can be a little tricky but I frequent Asian markets for different veggies and beans. It requires patients if you don't speak the language of the people there so i have to read up on exactly what to look for before I go. It is really worth it!
It isn't imposable, just different. You could end up having the most creative and best tasting meals on the block!