I feel lost about our situation

I’ve been dating this guy for about over half a year now. But it has been on and off because once his ex wanted to come back and he met her to have a talk. He did tell me about this but he was very sad because his ex told him that she actually cheated on him before. I understand that it was a tough thing to hear but it’s a bit frustrating for me to see him being sad about someone else when he was with me. Cuz we were supposed to cook that day and he was feeling off because they used to cook together and it gave me flashbacks. So that night I couldn’t fall asleep thinking about this and he kind of just brushed it off. And the other day I was just feeling a bit frustrated.

Then he had an accident so he was in hospital for a while. I wanted to go see him but I couldn’t enter the room so I haven’t seen him for a while. And after he got out of the hospital I went to see him but I feel like we didn’t really have much conversation and he kinda just want to have sex. Which is fine I guess, but I expected to do something more emotional? So I kind of avoided going to his place cuz he will just try to have sex. And after a few days I just said maybe we shouldn’t continue. ANd he said maybe we can hang out again when he reovered so he can actually get out of the house.

So recently we started to hang out again. And he would want to see me more than before. We do go to dinners or get drinks. But usually he asked if I want to stop by to his place or come over. And sometimes I couldn’t make it. And he complained a lot about me not wanting to see him. And he would message me “I hate that I miss you. I wish I could just be like you and now care haha.”

But I feel like he always had something that he wasn’t honest about. Those are not big deals but still it made me insecure.
For example, the night he was sad about his ex, his ex’s friends kept calling him, and I asked him who is that, he said just alarms; and then he has a tufting carpet which is new and I saw that carpet on one of the girls IG that he follows. SO I asked who is the carpet from. He said a friend. I said not a date? He denied. BUt then he told me they dated.
Also when we had dinner, he told he never chased a girl so hard like he did to me, he never tried so hard to keep asking a girl out and try to see her. It was usually the girl who wanted to see him. ANd then he showed me the message from a stranger girl that he met on dating apps a year ago (according to him), trying to prove that girls usually chase after him. ANd then by one of the message he stopped showing me. But I saw there are two more messages below that one, so I asked him what you said after that message. He said nothing and didn’t show me the phone. And then later he showed me but the messages were gone. I asked him why did you delete them. He said there wasnt any message below that at all and I was just tripping. BUt then later he finally admitted that it was just a message that’s a bit flirting. ANd he thinks that I would be mad so he hide it.

There are just small things like this that made me doubt how genuine he is.
After that night, I feel really off. ANd the other morning I went to his place. And we watched a movie, then I asked him what we are. He said he tried to make it work and see me but I was distant and he kinda just gave up cuz he doesn’t want to feel like he had to beg me to meet him. ANd I think we both have our reasons so we said maybe we should just be friends. He agreed.

So now this is it. But I am still confused.
I don’t know if he really liked me. I mean I guess he did and he said he did, cuz he did try to get me back even I told him maybe we shouldn’t continue like 2 times. But then why I just don’t feel secure? Am I wrong?
I still like him and I want to try, but everytime after I met him, the insecurity came back. I don’t usually feel this way cuz usually you feel satisfied and happy coming home from a date. But with him I just feel a lot of doubts in my head. ANd it is driving me crazy.

But at the same time, I keept questioning myself if I were pushing him away. If I did it wrong or maybe I should have done it better. There is so much going on in my head and I feel sad.