You shouldn’t just “move past it”. You and your boyfriend have important talking to do about how you define respect and how you want each other to behave. If you don’t come to a clear, mutual agreement, issues like this will fester and grow and the relationship will fall apart.
Currently, you do not have an agreement. You feel disrespected and insecure. He says he is willing to stop but then defends his behavior by pointing out things he doesn’t like about you. It’s as if he believes he can continue doing something you don’t like as long as he can find fault with you. This is not a mature way to handle things.
I hope the two of you can get beyond that point have a loving discussion about what your couple-ness means. That kind of talk brings people closer. If you want to stay together but can’t get anywhere when you try to talk about hard stuff, a couples therapist could help you,
I wish you well.