Why were you tested for those allergens in particular? if it was because of previous ige allergy symptoms after eating, then I would avoid at all costs. Unless you have been advised to eat them by a medical proffessional, e.g your allergy doctor/ clinic.
Never try eating a possible ige allergen without medical advice, as you may be at risk of anaphylaxis.
Elimination diets are for people with food intolerances, a gut response rather than a immune response to a protein.

Any of those allergens could be causing all but your diabetes. My oldest daughter is allergic to Red dye #4 and #40, which caused ADHD symptoms. Anxiety and depression can come because of the foods you can't eat, especially if others are eating them in front of you. I still get depressed over lemonade! A good support system or just talking with a psychiatrist can help immensely!

Start with a couple of items you absolutely know you can digest with no side effects. Write a journal of everything you eat and exactly when you get a side effect. Add one food no less than 72 hours apart, as an allergy can take up to this long to show up. Your journal should show you the way to go. I am allergic to soy and boy do I have a tricky time staying away from it. Need to read every label and know all the names they use. Since I am clear, though, if I do eat something and get a headache, I know exactly what it was that I ate. Good luck!

Elimination diet works and is hard but is a day to day trial and error and constant learning experience.