As you said, it's called a "bump". And Yes, it is normal.
It could be an ingrown hair, or just an oily gland reaction.
The best way to find out is to see a doctor. You could then know for sure, and have the "peace of mind" that everything is OK.
I know it might not be easy to talk with your parents, or Dad, as to why you want to go to a doctor, but he should understand, and take you.
I do wish you the best of luck.
Happy New Year.