I would blood test your iron, D3, and B12.
Before I took T4, I would supplement 600mcg methylcobalamin, (edited, 500mcg Dibencozide), 200mcg iodine, and 150mcg selenium daily, for a few months and
retest your TSH, FT4 TT4, TT3, FT4 and thyroid antibodies.
As for your TT..... you need to know...