If you've had thyroid blood work done, please post the results, along with the reference ranges, since these vary from lab to lab, so must come from your own report......
If you've not had proper thyroid tests done, get FT3, FT4, TSH, TPOab, TGab, vitamin B12 and vitamin D.
Cortisol is only accurate if you do a 24 hr test to get the levels over an entire day, either urine or saliva; some say the saliva is the only accurate test, but most doctors don't do or recognize that.
Stella has provided the tests you need - I'd also recommend cortisol tests to see if your adrenal gland is functioning okay - maybe you'd do better on a T3/T4 med like Armour? I'd also have your Vitamin D levels checked. You'd be surprised how D deficiency can affect your body. Google Vitamin D deficiency and see what you find. I take 4,000 IU's a day and mine still stays low at 30 in a range of 20-80. NOt sure why I cannot get it up!
Free T3
Free T3
TSH
and some autoimmune thyroid
TPOab
and TgAb