No, you don't love him. I'm not saying this to contradict you, but if you love someone, you'll be good to them. Period. However, I had a relationship when I was your age that sounds very similar to this. My boyfriend was just an asshole and impulsively said terrible things to me that hurt me, so I learned to be an asshole like him, because I wanted him to feel how he made me feel. It only made our relationship more toxic.
But, I think that your pattern of lashing out at your boyfriend makes you feel confident on some level. Therefore, whenever you're not feeling good, you lash out and it temporarily satisfies some insecurity and that feels good. The fact that you made him think you were about to break up with him, just to hear him beg, smacks of insecurity. You wouldn't need to hear him beg if you felt good about yourself. You might be feeling insecure because your boyfriend is mean and says things that hurt you. That is not good, and if he is the cause of your insecurity, you need to think about leaving him.
Its normal to have insecurities, especially if your boyfriend is regularly mean and hurtful to you, but the way you're treating each other is basically abuse. If it doesn't stop its going to affect the way you treat other people in your life and change who you are. I don't think that would be a good thing, and you both should try to understand the way you treat each other. Consider if there's anything you would change about your relationship what would it be?