Could I have a thyroid problem even if my doctor says I don't???

They probably kept pushing depression because they see it so often. I don't think you're depressed. Like you, I have a family history of thyroid problems (hypothyroidism in particular) and that's what it sounds like to me. Talk to a different doctor, definitely. They can prescribe a medicine that should nearly eliminate the symptoms and let you be as energetic as you want. You would think that, even at the health clinic, they would be able to differentiate, though. I'm not even pre-med.