First of all, keep in mind that I am unable to diagnose you because I am unable to examine you, this forum is for educational purposes.
Hypothyroidism does not directly lead to seizures. It can cause depression, fatigue, and weight gain. The lack of energy and motivation experienced by patients with hypothyroidism may also contribute to their non-compliance with medication.
Some anti-seizure medications can reduce the levels of thyroid hormones in the body (phenytoin, phenobarbital, and carbamazapine have all been reported to lower thyorid levels). The drugs that you are on, have not been shown to affect thyroid levels.
Refractory cases of hyperthyroidism (I believe you are hypo-thyroid) can lead to seizures and coma. I would definetly have your thyroid treated and you will likely gain energy and improved mood, but it is unlikely to change your epilepsy.
I hope this has been helpful.