Search Results: signs of cheating in a relationship

We only went on two dates, but so far:
- He never takes out his phone except to show me stuff when we're together.
- Asks some really personal things about family, hobbies, goals, life and even weather! It really seems like he's interested in getting to know me.
- He does most of the talking and asking questions.
- Wants me to meet his friends after the first date.
- Finds excuses to touch me, but they are really innocent (IE hands brushing or asking for hugs)
- Flirts but innocently, nothing remotely sexual.
- Never looks at other girls.
- Girls try to flirt with him a lot. I decided to test him and told him I'm going outside to finish my drink. He immediately stopped talking to the girl and went outside with me for 30 minutes waiting for me to finish drinking.
- Told me out of the blue he doesn't sleep around.
- When I was going on holiday, he asked in detail whether I will ever come back and he seemed worried. When I told him I will, he was relieved.
- I tested him again. I told him girls expect too much and everybody cheats on everyone. He told me if he is really into somebody, they should commit because trust is VERY important in a relationship.
- Added me on Facebook after first date.

But here are a few red flags:
- Can't post on his FB wall.
- Seems busy most of the time, working, band practice, etc.
- Has a lot of female friends and pictures with them.
- Friends with a stripper and liked a photo of her but.
- When he saw his friend he told me to stay while he went up to talk to him.
- Is a band player. C'mon, all of them cheat!

So is he a player?

I have been with my boyfriend for two and a half years now, he is my first serious boyfriend although I have dated others. I am his first girlfriend and obviously serious girlfriend because he never had the attention... so it is obvious that if he gets attention from a girl he loves it and cannot pull himself away.
Since we've been together I check his phone and laptop regularly, weather it's wrong or not I've been cheated on in every relationship I've been in so I have trust issues.
Now about 6 months ago he signed up to a dating website based on just screwing around with people but never actually messaged anyone. I forgave him for that, but, last night on his phone he had two Internet pages up both about hooking up with people. He says they are pop ups so I went onto his settings to check if the pop ups had been blocked. What do you know they are blocked.

This isn't all he does, he messages girls trying to get attention, I don't know what to do. He says he loves me and that I'm gorgeous, he tells me he'll never hurt me. So why does he?
Do guys just crave the attention from other women besides their partners? What should I do? Should I just leave..