Is the relationship worth saving

My boyfriend has his house and I have my house. He sleeps at my house everyday but does everything else at his house. He just sleeps at my house because we love cuddling together and being together. He always says to me I have no home because he’s at both of our houses. My boyfriend has these two friends who are a couple and we got together with them. The girl in the couple asked me where my boyfriend lives and I just said he’s all over the place. (Because in my opinion he is, he doesn’t pay any of my house bills and his legal address is not my house!) She asked me again a second time an hour later where my boyfriend lives in front of the both of us. She said I called it bouncing around earlier and she was confused. I just said that we’ll he sleeps here. My boyfriend got so mad at me that I felt weird, uneasy, and uncomfortable. I found nothing wrong with what I said. Apparently he thought what I said was degrading and that I wasn’t claiming him. I told him that I had used the words “he’s all over the place” and not “bouncing around”. But then he said that friend told him I said “bouncing around” which I did not. I told him if he’s gonna believe friend over me his own girlfriends words then I wasn’t even gonna bother with the conversation. This is when he started saying things that upset me and made me second question our relationship. He said that I deserve to get cheated on, that he’s gonna go cheat on me with someone so he can break my heart and so I can cry and be heartbroken and that he’ll laugh, he said that he doesn’t even know if he wants to marry me and that I’m not worthy of marriage if I’m not gonna claim him, he wants a women who initiates seggz more and will eat his junk, and I don’t do none of that and I don’t please him he says, blah blah blah. I don’t say anything mean to him when I’m mad at him. This makes me feel as if he doesn’t really love or care about me if he’s willing to say such hurtful things to me. But then, I don’t know if he just said that cause he was upset and didn’t mean it. I really don’t know how he feels about me cause on good days he tells me he envisions getting a house with me, having kids with me and carving pumpkins together. The next day he apologized and said that he just said those things because he was upset but he loves me. At that point though I just can’t believe him anymore. He’s used these hurtful words many times in the past before but I’m just coming close to my last straw and I don’t know what to do. He tells me that many people in his family are narcissistic and I’m wondering if he’s like that too after these conversations. Or gaslighting me or something. I love and care about him and I can picture my life with him but I can also picture my future family without him. All the guys around him always talk about cheating on their woman so I’m wondering if he thinks it’s normal or something. I am so confused because I don’t wanna be alone but I also don’t wanna keep hearing these hurtful words and I don’t know how to get him to stop with the hurtful words when angry.