I agree with Gimel.
Looks very much like poor conversion of T4 to T3 and need of T3 medication.
Often times you will want to split the T3 dose into taking half in the morning and half in the early afternoon. As it gets used up in a matter of hours. So taking it twice a day helps keep a more level amount available throughout the day. But do not take the 2nd dose too late, or you may have trouble getting to sleep at night.
Remember that everyone is different and they feel well at different levels. Getting the optimized dosage(s) is trial and error. So changes are usually best to be small and slow changing only one thing at a time.
You have many symptoms that are typical of hypothyroidism. The fact that your TSH is in range, along with your TPO ab result indicates that you don't have Hashimoto's Thyroiditis. TSH is a pituitary hormone that is affected by so many things that at best it is only an indicator, not a diagnostic, to be evaluated along with more important indicators such as symptoms and also levels of the biologically active thyroid hormones, Free T4 and Free T3.
Unfortunately your doctor tested for Free T4, but not Free T3, only Total T3. We usually suggest that for best results, Free T4 should be at least mid-range, so yours is close to that. Total T3 (or Total T4 ) represents the total amount in your blood. Most all of that is bound to protein and thus biologically inactive. Only small portions are free of protein, thus called Free T4 and Free T3. Free T3 is very important because it is metabolized by all the cells of the body to produce the needed energy. So you should make suer you are always tested for both Free T4 and Free T3 every time you go in for tests.
If your Free T3 level is similarly low in its range as your Total T3, as I expect, then your hypothyroid symptoms are due to inadequate Free T3. Since your Free T4 is at approx. mid-range, and your Total T3 is rock bottom of the range, I expect that the main problem is a lack of conversion of T4 to T3. Conversion is significantly affected by levels of ferritin, selenium, zinc, and even iodine. Since low ferritin also causes hair loss, that might be the most likely cause for poor conversion and your symptoms; however, you need to get all 4 of those tested and then supplement as needed to optimize. Ferritin should be at least 100, and you should discuss all 4 with your doctor, after testing.
Finding out the cause for poor conversion and then correcting it may take some time. In the interim, in view of the severity of your symptoms, you might ask the doctor to prescribe some T3 med short term,to raise your level, while working on getting conversion better. Ten mcg of T3 would be a good start for a few weeks to see how you react, and then test Free T3 and see if a further 10 mcg increase is needed. Free T3 is best in the upper half of its range, and then adjusted as needed to relieve symptoms.
Since hypo patients are so frequently deficient in Vitamin D and B12, you should also get those tested and then supplement as needed to optimize. D should be at least 50 ng/ml and B12 should be in the upper end of its range.