Hyposthyroid? Based on the above?

Greetings, I am a 42-year-old female. I have always been very physically fit and taken care of my body with exercise and good eating habits. In 2009 I noticed I was gaining weight rapidly, losing hair, having dry hair, constipation, nails weakened, always tired, fatigued, and started feeling like I was losing my sex drive. In 2015 I had tests done by and endocrinologist and my thyroxine = 5.1 ug/dL . A few months later my thyroxine free = 1.05 ng/dL. Nothing was done after that. Not only do I still suffer from the symptoms already mentioned, but I am freezing all the time. My mother has hypothyroidism and my deceased paternal grandmother had hypothyroidism too. So, do I have hypothyroidism based on the above? On my own, I have taken selenium but that is not helping. I had started taking iron but my primary doctor had me stop taking it. So, if you could please give me some advice. I really appreciate your time and attention to this matter.