Unsure if I (F19) should completely cut off my “situationship” (M22) ?

So a bit of backstory, I found this cute guy Online from a mutual friends story and added him as a friend . We started chatting and getting to know each other and this lasted about 5 weeks,things seemed to be going really well and we decided to meet up. He came and stayed with me for a few nights and we had a really lovely time. We continued seeing eachother and have seen eachother since. He explained he had a “crazy” ex however refused to delete pics on socials of them together or block her on any social media. Which raised reg flags for me & I expressed these concerns. He was immediately defensive and irritated and would some how make it out how I was the one being weird not him and how if he wanted to be with her “he would” but he’s “totally over her”. Fast forward a couple weeks we are still having the same conversations and he randomly blocked me on TikTok which I thought was strange but yet again he made me feel like I was the issue when I brought this up. I decided to end things as I feel we aren’t compatible and it seemed the correct thing to do. However I was drunk and told him he was not over his ex and borderline obsessed with her and a few other nasty comments (I have since apologised). He hit back with a message calling me a “psycho” and how we “just don’t get on” and he feels like he had to bite his tongue in certain situations so I didn’t “get mad” and a few other Things he had never said up until this point where it seems to me as soon as i mentioned his love for his ex he completely switched. I also caught him lying a few times about minor things and when confronted he would say “I never said that” or “wtf” it was never anything massive but just random how he would tell white lies. This conversation upset me so I decided to remove him off my social media so I can focus on myself and my Bachelors.Fast forward 3 weeks later I add him back because im stupid and I low-key missed him. And I wasn’t going to say anything I just wanted to have him back on my social media. He immediately texts me as asks to call me and we speak as normal he tells me he “thought about it” and removed all pics with his ex and blocked her on all social media? To which I just said “oh well that’s good for you” as I was unsure what response he was expecting from me. 3 days later we speak on and off and I see him at a bar in my state and we share a kiss (im a dumb ass lol) and we chatted for a bit then I didn’t see him after that. We have spoke again since and he keeps wanting to FaceTime but when we do he is childish,and brings up his recent nights out with his friends and how many girls were speaking to him etc. He always starts it off with “U won’t like this” or “you won’t want to hear this but” and tells me stories which to be real I think he may even be making up as an attempt to make me jealous. I just think at his age he is childish but it sucks because I did really like him but I think he is keeping me around for his own benefit. I have been slowly distancing myself from him and ignoring his messages but he will double or even triple text and question me when I don’t respond. I mean I like him but I dont really think this is going to go anywhere.I explained on call how we can do what we want now and how I don’t feel any type of way about him speaking to other girls. I feel as if he is trying to get a reaction out of me but im unsure why as he knows things are finished? I don’t know if im reaching and just need to let him go as he is childish and doesn’t seem to care about my feelings. Or if I keep hoping that things might change and he might realise he does have feelings for me and want to try again. I know im delusional but sometimes it’s hard when you really like someone but I feel confused. I don’t know if he is giving me false hope?