Questioning

So, I’ve been seeing this guy for a couple of weeks now, and he is the perfect gentleman! But, now that it’s been a little bit of time I’ve noticed somethings. One of them being he will tell me he’s going to bed, and then I’ll see him active on facebook, hours after he’s told me he’s going to bed, X amount of minutes ago. I’ve been cheated on before so I know that’s just my inner problems peeking through, but is that a reason to bring up to him? Or should I let it just go, I’ve asked him if he’s seeing or talking to anyone else and he stated that he does not.