Did you find a solution to your problem? I've got similar symptoms to you, beard loss, eyebrow thinning, all my symptoms are similar to an Iodine deficiency.
I was taking an antidepressants called citalopram which is high in fluoride, flouride displaces Iodine in the thyroid causing an Iodine deficiency.
We both seem to have low thyroid symptoms, possibly caused by fluoride. I'm hopeful that iodine will flush these toxins from the body. Iodine has many benefits.