Too much of any thyroid med will cause tremors/anxiety/insomnia/palpitations and increases risks of dangerous heart rhythm problems (atrial fibrillation).
A TSH of <0.01 means too much medication in most cases. A decrease from 180mg to 80mg is dramatic, there is a 120mg dose that could be tried -- also people with urticaria tend to do better if the TSH is kept in the low normal range (ie, 0.5 +/-)
I do know that synthroid which is what I am on is a dependent medication so the drop in mg's could be affecting you....My dr. told me not to mess with it and I get checked every six months even at the smallest weight increas and...I stopped taking it once (forgot to refill it) and noticed w/d symtoms. Maybe you should get a 2nd opinion...