Welcome to the forum.
I strongly suggest you make an appointment with your doctor.
tell him/her the complete symptoms and stress you are under.
Get a complete blood panel and any other tests the doc might want to run. Loosing hair is not a side effect of migraines I have ever hear of.
However, it is a SE of stress.
Moderator - Depression
Be still and know there is Peace.
Kabir says: "Student tell me, what is God? He is the breath inside the breath". from the poem Breath.
DX: reverse Trigeminal Neuralgia;Cluster headaches; Atypical face pain;Hemicrania Continua; raynauds;complex PTSD; recurring MDD,disassociative disorder;