s Thyroiditis is the most common cause of hypothyroidism, it would be a
good idea to test for the thyroid antibodies. These tests are TPO ab and TG ab. Having Hashi's would explain some of the changes you have experienced.
While you are there, I also suggest that you get tests for Vitamin A, D, B12, iron/ferritin, zinc, selenium, RBC magnesium. Hypo patients are frequently low in these areas as well, so it would be good to verify/rule out those areas.