I've been on Synthroid, almost 2 years, it has helped.
I'm not sure if it addresses T3, T4, or just TSH, but different thyroid meds. work in these areas and some not in others.
See what your tests revealed as far as what was it that your thyroid was underproducing or overproducing, this may help pin point exactly what thyroid med. is what you need.
I read in some internet thyroid sites, about this and some books I have here at my home.
Amazing how just thyroid meds. can address some forms of depression. . . it seemed to have helped boost the efficacy of my other meds.