Ex boyfriend still acts like boyfriend?

My ex and I broke up for a reason. I broke up with him because he was controlling and manipulating. He convinced everyone else that he was a great person. (He was so polite and made everyone love him, when secretly he tried to control everything in my life. He put down anything I tried to contribute and he was forcive and abusive). I quit thinking and acting for myself... He told me how I should think and feel about everything so I lost all meaning of who I am. I am trying to get myself back now, but it's hard...

He still acts like my boyfriend. I broke up with him a month ago, and I told him I still wanted to be friends. (My friends think this is stupid considering he tried to rape me. A part of me cares about him a lot, but not as a lover. Whether it makes sense or not, it hurts me imagining him out of my life so I want him as a friend) He agreed to be my friend even though he said it hurt because he still loves me... He is acting like my boyfriend still. He says he loves me all the time, calls me sweetie and beautiful... When we hang out, after I specifically say that it's "as friends only", he will grab my hand and kiss me and do boyfriend things. And he even begs. "Please take me back" I tell him that we shouldn't act like a couple because we're not, and then he stops it all and gets really pouty and depressed and will ditch me and make me feel really guilty and like I have to go make him feel better by letting him do the boyfriend things I don't want him to do, it makes me feel obligated... but I know I'm not obligated.

I don't know what to do. Should I just not be his friend? I really want to move on with my life and find a new "somebody" someday. But a special somebody, someone who is really good for me. I feel like I can't with him being my "friend" because I feel like he's trying to get me back and not really wanting to be my friend. And he said he would "kill" anybody I start dating... I hope he was joking, but he's kinda crazy so I don't know. I just feel like I want him in my life because I connected with him, and if he goes away I feel like I really don't have anyone else in my life, like friend-wise either... I think that was his plan so he would be my only resort and that I would need him... :( I have friends, but he convinced me that he would be better than any friend I might have, ever.