All good questions for a doctor.
For your birth control question, there are many non hormonal birth controls you may want to consider. Also, ask your doctor about the mini pill, it has a different hormone that you may not be so sensitive to.
Is this bump always there, at every point in your cycle? Are you doing
self breast exams or are you just squeezing? If you feel something, then it's a good idea to speak with a doctor just to be safe.
It sounds like you have a hormonal imbalance, have you always had hair on your face and nipples or is this a recent thing?