Thyroid meds might work much more effectively with iodine supplementation, so a smaller dosage of them might be needed over time. The physician who prescribed the thyroid meds probably won't like the idea of you taking large doses of iodine without his permission. It is best to increase iodine dosage gradually, and since you are on thyroid meds it is probably better to take a more conservative iodine dosage. Another thing to keep in mind is that mercury binds with selenium and makes it unavailable, and that selenium is necessary to convert T4 to T3. So those who have a below normal temperature when waking up might greatly benefit from selenium supplementation.

"My weight-? . . . after eating so much sugar for so long, I'll let you have a guess at that one. "

I went from being quite overweight to being a bit underweight for a while. Some here are overweight, while others are underweight. Mercury seems to mess up hormone levels, so many who are mercury toxic have trouble keeping their weight within a desired range. When I was off wheat my weight got quite low, even though I was eating many calories(a huge amount of nuts).
I felt hungry all the time though. I might eliminate wheat from diet again, as I have been starting to gain weight recently. I would like to keep my weight stable, and not have it increasing or decreasing.