Even though labs sell all sorts of outdated thyroid tests, these are the only ones that are accurate:
FreeT4 (T4 or thyroxine, free, direct)
FreeT3 (tri-iodothyronine, free, serum)
TSH (thyroid stimulating hormone)
As I'm sure you figured out, getting accurate labs done doesn't necessarily mean they are accurately interpreted by a doctor.
In addition to a current TSI (thyroid stimulating immunoglobulin) test, getting tested for all types of thyroid antibodies could be helpful to give you some idea of your disease course:
TPOab (thyroid peroxidase antibody)
TGab (thyroglobulin antibody)
TBII (thyrotropin binding inhibiting immunoglobulin)
Now, my lab doesn't offer the last test and instead offers TRab (TSH receptor antibody). This test isn't as helpful since TRab is a measurement of all TSH receptor antibodies which include TSI and TBII. The TRab test is better than nothing if only to get some idea about your disease course.
I'll explain it all once you have results (unless you'd like to know sooner