Is plan B needed?

🌊Violet🌻 • Difficult roads often lead to beautiful destinations🗺 • 💕G.P.L 10/13/14💕
Here is what basically happened. I missed 2 days of birth control. After those 2 days my period unexpectedly started. I waited until my period ended then started a new pack of birth control. I am a week into my new pack and me and my boyfriend had sex. He came inside of me. Is plan B needed? Since I had my period then started birth control right after, did I ovulate? Did I drop an egg? Help