I do find myself getting acne sometimes and my hair is thinning....but....I've always gotten a little acne here and there around 'that time' each month and the hair thinning, I see my GP this week and will discuss that, could be just a reaction to all those babies I had consecutively, lol
If you read the fine print about Copaxone, there is mention to thyroid....always something to get checked out with your GP.
Best of luck....