s is, typically, associated with hypothyroidism, as described above,
Graves Disease is always associated with hyperthyroidism. Graves Disease does not swing back and forth between hyper and hypo, as you're doing...
If you haven't had the antibody tests, you certainly need them in order to determine what's going on.
In order to diagnose Hashimoto's, your need to have Thyroid Peroxidase Antibodies (TPOab) and Thyroglobulin Antibodies (TgAb) tested.