
Yes, you should talk to your doctor about the T3 and T4, but make sure you specify
FREE T3 and
FREE T4; otherwise, you will get TOTAL T3 and TOTAL T4, which are obsolete.
Any doctor dosing, based only on TSH is not doing you any favors, as you have no idea what the actual thyroid hormone levels are and those are the levels that need to be adjusted to alleviate your symptoms.