Guy's Behavior

Is this guy wanting a serious relationship or is he a player?

I've been seeing this guy for about a week now and we have gone on 3 dates. by the way I am 25 and he is 32. He was very touchy on the first date (not in a sexual way) and I honestly didn't mind it. He immediately planned our next date which was to go hiking. We had a great time on both our dates and even made out on the second one. He kept talking about in the future what we could do together and I thought he really liked me. On the 3rd date we went on a short walk but then he invited me over to his house.

We watched a bunch of movies together and kissed and felt each other up. He said he didn't want to take it further, and I said that I didn't want to either. He said we should wait. He also kept bragging about himself almost the entire time. I have noticed he never asks me questions about myself, like ever. Not even basic ones like how was your day. When I got home he sent me a bunch of shirtless photos of himself which was hot, but I also thought it was kind of weird.

He went on his phone and I glanced over and I saw a whole bunch of girls on his snapchat. That's okay since we aren't official or anything, but it's a little worrying to me that he may be a player. Just wondering if any of these are red flags.
Is this guy wanting a serious relationship or is he a player?
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