I had unpretected sex June 17and started taking birth control pills on June 27. I had a period on June 29 and June 29 and started bledding again on July 13 and it lasted 2 weeks. What dose that mean can I be pregnant.

Mostly likely it is due to starting the pill which can alter cycles for some women, particularly in the beginning of use.

Since you had sex, pregnancy is a possibility. Might be you were pregnant and had an early loss. I'd check with your doctor about having a blood test done to rule out pregnancy. Continue with the birth control pills in the meantime.