With regard to iodine, it sounds like you're doing wonderful! From what I understand, it appears that now the iodine is staying with your body and having impact, rather than swooshing straight through like it was on your first test. Good job!
Your menopausal symptoms sound like a combo of hypothyroid, adrenal insufficiency, and hormone imbalance. It's a chaotic topic, but worthwhile investigating. Here are some beginning points.