Hypothyroidism w/ elevated tpo antibodies, low t, adrenal insufficiency... Synthroid (thyroxine) & testosterone hasn't helped. Can I have an autoimmune disease?

You do have it. Elevated tpo antibodies confirms you have autoimmune thyroiditis. This is often triggered by environmental toxins ;/or infections. You will likely benefit from adding liothyronine to your regimen ; treating adrenal problems with cordyceps, rhodiola etc. I advise consulting with a holistic doc. See http://abt.Cm/18gpb3a ; http://bit.Ly/15k26u8 ; http://bit.Ly/17nx2ax ; http://bit.Ly/16blg0r.