Are you stable on your levothyroxine? And do you know what your blood results are?
I have to say that I think its probably mostly dangerous to your bank balance to take a collection of remedies that someone has said might be helpful for this or that symptom. And I am no less of a sucker for a magic remedy than anyone else. But none of them have really lived up to their promise.
Zinc taken by itself without a clearly demonstrated deficiency can upset your copper balance which is bad news. You would be better to research what zinc rich foods you might add to your diet.
If your doctor hasn't already tested them ask for B12, Vitamin D, ferritin and folate to be tested. Or you can do the tests privately via Blue Horizon. If they are all good (not just normal) then the next step might be a hair mineral analysis.