What are the reference ranges for the Free T3 and Free T4? Reference ranges vary lab to lab and have to come from your own lab report for the best comparison.
Some symptoms can apply to either/both hyper and hypothyroidism or you could be swinging between hyper and hypo, but since symptoms often lag behind labs it may take some time for the symptoms to catch up. Maybe they won't...
Another possibility is secondary hypothyroidism, in which the pituitary gland isn't producing enough TSH to stimulate the thyroid gland to produce adequate FT3 and FT4.
Some vitamin deficiencies can mimic hypothyroidism, so you might want to ask your doctor to test vitamin B-12, vitamin D and ferritin.