Adding N-acetyl-cysteine and /or milk thistle to the mix will help the liver detox. Itchy skin, and breakouts are sign that the liver is being overwhelmed. I have noticed that when I get the breakouts, NAC (2-3 grams daily broken up) helps clear them up.
Doing more frequent salt flushes and increasing the dosage of Iodine helps too.
Hang in there, and take breaks from the Iodine (but keep taking companion supplements and doing the salt flushes) for a few days or longer if symptoms get to be too much.