Just from your symptoms and those test results it appears that your body is trying to maintain thyroid function by converting more T4 to T3 than normal would be occurring. Your Free T4 level is not bad, being at 43% of the range, while your Free T4 is over 90% of the range. Normally we would not expect a member to have significant symptoms with those levels.
Besides, thyroid hormone levels there are a number of other processes and cofactors that affect tissue thyroid effects, which is what determines thyroid status. Some of those affect conversion of T4 to either T3 or Reverse T3. Also Vitamin D, ferritin and cortisol can have an effect on thyroid metabolism. If you have not been tested for those I think that should be your next step. Note that the best test for cortisol is the diurnal saliva cortisol test done at four times during the day. Doctors don't usually want to do that test. Instead they run a serum cortisol test which is more difficult to interpret, due to variation in cortisol levels during a day.
Sorry RR should be 2.5 -3.9 pg/dl
Please double check the RR for Free T3. I cannot find a RR that is anything near that number, with measurement units of pg/dl. Did you get that right from a lab report?
Tpo ab 9. RR 0-34iu/ml
Free t4 1.04 RR .58-1.64iu/ml
Free t3 3.8 RR 2.3 -3.0 Pg/dl