Hello Ando
I'm sure gimel will chime in soon, but I thought I'd add my 2¢. as well.
Your results (Free T4/Free T3) don't indicate hypo, but they could be higher (hyper) than you need them, even though they're within the reference ranges.
Have you considered dropping back on your thyroid hormone dosage to see if that changes the way you feel? Is there something else going on in your life that could be causing excess adrenaline, making you irritable/angry/anxious?
You need a full thyroid panel with both antibodies and RT3 test those tests eill not tell you anything . Join Adrenal Fatigue and thyroid care on face book and get the stop the thyroid madness book ( you can get it at your local library) the revised edition