Oh dear, not again. You need to find a doc who knows how to:
1. Listen to his patient's symptoms
2. Order the correct labs, in this case Free T3 (the free T4 was correct and I'm guessing you are near the bottom of range) and you should also get the antibody tests, TPO-Ab and TG-ab.
3. Read the labs he does order. Your TSH is very hypo, it should be well below 2 generally, expecially if you are symptomatic. Your free T4 should be in the top third of its range (post your ranges when you post your labs here) and the free T3 should be at the very top of range.
Unfortunately you will have to make the effort to find another doc who will treat you right. This one hasn't got a clue. I'm guessing he's going to try to push antidepressants on you next...
Spend some time on these boards and read a bunch of posts. * Disallowed website and related information removed by hb-mod, moderator *
Don't give up on this, you are hardly alone and there is help!
PS, suppliments are not going to help you much if you are hypothyroid. But I would also recommend you get your Vitamin D, B12 and ferritin checked as many hypo people have deficiencies in these.