Am I normal?

i started prob around 5 or 6 . im female. i would rub my crotch area until i had an orgasm. i didnt really understand i just knew it felt good. i would go into my dads room and look at dirty magazines and masterbate to pictures of the penis. I almost got obsessive with it i would do it in school. In class. I was actually caught by the teacher and she told me i wasnt allowed to do it in class. But prob around 11 or 12 i started flashing my crotch to people. In school i would wear skirts and open my legs so the teacher could see or in gym i would wear shorts with no panties. I only showed it when i was horny if i wasnt horny i would NEVER show i didnt have the courage to. I saw the teachers looking. mainly males. They never said anything to me about wearing underwear. i feel like i was way too sexual at an early age. is this normal?