Your doctor ordered an impressive array of what are considered obsolete tests. T3U, despite its name, is an indirect measure of T4; the direct measure, FREE T4 is what he should have ordered. Total T4 tells the total amount of T4 in your blood, FREE T4 tells the amount not bound by protein and available to your body for use. FTI (free T4 index) is a computed number based on the two obsolete tests just discussed.
Your T3 and T4 numbers don't have to be out of range for you not to feel well. Thyroid tests ranges are very flawed, so the whole bottom half of the range should probably be considered hypo. Your TT4 is at 29% of range, and we have no idea what your T3 is doing.
Your TPOab is elevated, which is indicative of Hashimoto;s thyroiditis, which is an autoimmune disease and the most prevalent cause of hypo in the developed world.
You should request FREE T3, FREE T4 and TSH. FT3 and FT4 are the actual thyroid hormones. They are much more important than TSH in evaluating thyroid status. TSH is a pituitary hormone and several steps removed from actual thyroid hormone levels. The other marker for Hashi's, TGab (thyroglobulin antibodies), would confirm the diagnosis, although only one has to be elevated for diagnosis.
Your symptoms are hypo. You need further testing. Don't let a doctor tell you that because your results are in range, there's nothing wrong with your thyroid.
You have normal thyroid function as indicated by normal T3, T4, at the same time you have antibodies to your thyroid--thyroid peroxidase postive,
you need a TSH to properly evaluate your thyroid.