Please help with my marriage... I need advice...

So I got married pretty quick, after 10months dating. We have been married for only 7 months now and we were trying to conceive as I always wanted to be a mom and he is 5 years older than me. I'm 27, he is 32. The thing is, he was married before and he has a 11yrs old daughter. His first marriage ended up because he cheated on her and then asked for divorce to be with this other woman, and obviously it didn't work out... so we met. When we met he just had broke up with this woman that he cheated his wife with. Jumping from one relationship to another huh? Well,  he makes me feel special and his proposal was the most beautiful thing that a man have ever done to me and I truly love him so there's no way I'd say no... But here comes the worst thing about our marriage: I have issues trusting him. It upsets me so much and I don't know how to stop it.. We do everything together ( except business trips, which I hate of course) but when he is home we spend all our time together Monday-Monday. I also have access to his email, cell phone and Facebook passwords. But what is making me right this right now is because of a girl that he works with. I have heard of her for a year now! He always tells me how annoying she is at work, the things she says, how he hates her and bla bla bla. One day he told me that she comment on his sunglasses like she told him" you're think you are too cool with those Ray bans" I mean, really? Then he also told me that she asked him why he hates her. He is her manager, she is in the military... And then today he told me that she kind off disrespected him and he ask to talk to her " alone" and told her that what she need to change and bla bla. I have seen her twice and both times they talked like if they were good friends... Last time we saw her in the movie theater and he even asked her what movie she was going to watch. She was on her own at the movie theater on a Saturday night!!! I mean, I don't know what to do... I'm tired of listening to all of this BS that he tells that involves her name, but I also don't want him to hide it from me so I don't know what to do or how to react... Today when he told me about this last thing I said I was sick of it! And I didn't even want to cuddle with him for a movie tonight... He said that he didn't understand why I was getting an attitude because he didn't do anything wrong. He rolls over and fell right asleep and I'm here awake going crazy playing every scene in my head...