Situationship - should I give it back

Hello, I'm looking for some advice, and a place to let out my feelings.

I was in a situationship for about 3 months, and in the beginning I wasn't sure exactly what I wanted, but I knew that I wanted more than something casual. I'm 23, and I've never been in a relationship. The longest I'd ever dated someone previously is 3 months, which ended up with me being ghosted.

On our second date he told me that he just got out a long-term relationship with his ex 3 months ago - but later let it slip that it was actually only 2 months ago. I didn't clarify my wants and needs right away until about a month in, and this was on a night where we were drinking at his place. I asked if he was seeing others and he said "Yes, but we're only seeing each other once a week. If we saw each other more then I would stop" I really took this to heart because in the 3 months that I was seeing him we went out 19 times, and for 2 of those weeks he was in a different state.

Every time we were together it was natural and it felt really great. I thought that he was actually starting to like me and that he would eventually want to be exclusive. I wasn't looking for commitment right away, but being exclusive was something I wanted. He would do things and say things that made it seem like I was the only one he was seeing. We would message daily and when he went to another state and then came back he brought me gifts. They were things that he knew I would like because I've talked about them before in passing. He would also talk about long-term plans and things he wanted to do with me in the future, which I guess didn't have any real meaning.

After he got back, we had planned to spend the day together, but something came up for him and we only planned to see each other in the afternoon. I was having a rough week, and I was feeling incredibly sick the day before, and he wasn't messaging to let me know what the plans were, so I was already irritated. I don't know if it was a good idea to bring this up on a day where I didn't feel fully happy or satisfied, but I know that at least I didn't ruin a good day by asking the question.

I asked if he was still seeing other people and he said yes, aren't you. NOPE. I had told him previously that I wasn't, but obviously he wasn't paying attention. I told him that I only liked him and I didn't want to see other people. I then asked if he would eventually want something with me. He was silent for a long while until I said "you can be honest with me" and then he said "I don't know." It's been 3 months, he knows whether he wants to move forward with me or not. I was sad and pissed off that he was only keeping me around until someone better comes along. I tried to communicate my needs and he kind of brushed it off and said that I should see other people. It was because he couldn't give me what I needed, but he also wasn't going to end it because he said he still wanted to see me. I balled my eyes out like crazy that night.

The next day I texted him in the afternoon telling him that it was great meeting him and that I hoped everything went well with his job. He messaged right away and said that he hopes I find someone who can give me the relationship and love I deserve. I think that was my way of getting closure, especailly seince I've never had it ever before.

It's been about 2 weeks and I have this book of his that he let me borrow. It's an important book of his, and I was wondering if I should reach out and return it, or if I should just keep it because he hasn't said anything.