When you take iodine, please be sure that you are taking salt and Vitamin C. Vitamin C is also great for detoxing Cl (and you can put a teaspoon in your bath to neutralize the water -- we can also "smell" the Cl in the water here in Richmond, VA).
I have a close friend who has been cleansing/detoxing for years and years, finally got some iodine and started to have lots of big things happen (he was megadosing and moving a LOT out fast...) -- his theory is the same as yours: that growing up, he was in the pool all the time absorbing chlorine, and that is what set him on the course of ill health he achieved by his mid-late 20s. I respect this guy as much as I do Trapper or Grz (; ) for instance, and thought I would mention that your suspicion about the pool could be completely correct. I sure don't feel so great about my idyllic childhood at our community pool, either!
But -- God must have created iodine in part to eliminate the other halides. I hope you'll find a course of treatment with it that works for you!