Are depression, irregular periods and memory problem symptoms of hypothyroidism?

Hi,

I would like to ask something. I never heard of hypothyroidism but I came across it when I was reading an article of what causes love handles. I don't want to self-diagnose but I've been experiencing its symptoms. I'm diagnosed with major depressive disorder with psychotic features. I've read that hypothyroidism and depression can be linked. I always feel tired, get easily annoyed, have trouble focusing, my memory has gotten bad, I became so forgetful, and it's just a bit confusing as these things are also symptoms of my mental illness.

I have been experiencing excessive hair fall, and I have a dry hair and skin. I am really skinny but I have these love handles fat ever since I was a teen. I have irregular menstrual periods, the longest delay I've experienced was 4 months. I notice I do not have interest in sex unlike people at my age. I also noticed delay in puberty. I am 20 years old but I do not see growth in my body. My pubic and underarm hairs just started growing when I was about to turn 19 and I think that is too delay. I would like to know if it's possible that I have hypothyroidism, what might be the cause and how it is treated.