should i be scared

Le
So i just started Birth control and i started it on sunday the 19th. I was on my period when i first started birth control. My period started on the 14th but my school's doctor told me to start on that sunday. My period ended on the 20th. I had sex with my boyfriend on the 22nd WITH OUT a condom. I do not believe he cummed in me. We then had sex again on Saturday the 25th. He then again didn't cum in me. I went to my school's doctor to get a refill cause she gave me a one month pack at first. At that time she told me when i start birth control the first 7 days if i have sex it should be with condoms. i didn't know this. She didn't give me a pregnancy test. She told me it's a slight chance for me to get pregnant but still possible. I've always been told you can't really get pregnant if when u have sex was right when ur period finished . Also i stay up to date with a pills never missing.  Should i be scared so much? i do know stressing can effect my period.  & i've also heard if i stress too much then i shouldn't be having sex, i like having sex just not the idea of having kids yet. Btw don't judge me please but i'm only 16😫.