Hi Sharmin,
I am hypothyroid too, with antithyroid antibodies - I think thats called Hashimotos.
My thyroid medication ( levothyroxine sodium ) is adjusted based on only total T3 and T4, my TSH seems to have an independent life of is own. One downside of a high TSH can be a possible goitre in future.
If my thyroid dose is even slightly high, I get palpitations, and I get warm and hyper, then i cant switch off - feels like i'm burning myself out.
Its best to see an endocrinologist, who will better understand you. Thyroid medicines based only on TSH, are not very useful for all cases. My TSH will sometimes be high, even if my total T3, T4 are normal. Its a signalling mismatch, and doesn't accurately tell how much thyroid mediation I need.