My doctor gave me a perscription for the pill and told me to start it on the first day of my next period. I did that and 11 days later i still have my period

Most of the days it's been very light though. I've never had a period last longer then 5 days and so i'm getting freaked out. Is this something normal that can happen with the pill and if so will the length get back to normal? or is this something i should call my doctor about immediatly? I have an appointment in 3 months so she can check how it's working for me, should i wait and bring it up then? Also she perscribed the pills without giving me a physical check up/exam. She said is was unnessicary because i wasn't sexually active. I felt uneasy about taking drugs without being examined before hand, is this normal as well?