Oh good! I have terrible, terrible allergies. My "allergy season" runs from February through November! I have 2 good months depending on the allergens. When my allergies aren't in control, I am more sensitive to chemicals.
I have only had the skin test and that was enough. Within seconds of the test I was miserable as the welts started forming on my back and arms. Man, those suckers itch! Since I reacted so much to the skin test the allergist didn't need to do the blood tests. I did do the shots (6 shots - 3 days a week) for a while but it was hard as I was working and only had 1/2 hour for lunch and you need to stay there for 1/2 after the shot. So, 3 days a week I had to take a 1 hour lunch and the boss didn't like it much.

I stopped going.
It would be interesting to see what your results are and if controlling your allergies helps with the chemical sensitivities. I know it helps me.