Antibiotics can interfere with your body's ability to deal with estrogen. Estrogen is one of the hormones that controls your menstrual cycle. (For this reason women on the pill are told that antibiotics can make the pill ineffective). Antibiotics also have the nasty habit of giving you a vaginal yeast infection. So watch out for that tell tale chunky cottage cheese like discharge.
Both of these can affect your cycle and make you spot.
If you and your pediatrician is still happy seeing each other, there is no reason to find an ObGyn. Normally you will need to go to an ObGyn once you become sexuallly active with your first exam shortly after you had your first sex or just before you get married (whatever comes first).
Take care.