Pimples or Staph Infection on face?

I am 23 years old and constantly breaking out on my face. I don't get just regular acne, but rather, cystic-infected looking nodules mainly around chin, forehead, cheeks and even back. I was diagnosed with hypothyroidism 6 months ago and my dosage has been changed from 50, to 25, to now 12.5 mcg. Do you think it's the medication? Or maybe it's a staph infection? How can you tell? Does anyone have remedies?