What tests do I need run?

To start out:

TSH

Free T3

Free T4

Reverse T3 (Not all practitioners test this, ask)

For Hashimoto's disease - Thyroid Peroxidase Antibodies (TPOAb), Thyroglobulin Antibodies (TgAb)

For Graves' disease - Thyroid Receptor Antibodies (TRAb), Thyroid Stimulating Immunoglobulins (TSI)

Iron Ferritin TIBC (Total Iron Binding Capacity) Iron Sat

Vit D Vit B12