Do I have a reason to be concerned?

My boyfriend I found out has been lying to me. I expressed distrust for his ex fiancé, whose also a family friend, because they dated for four years and were trying to get married

He added her back on his Facebook, saying there's no contact with her.

Then I find out that he's talking to her, and very possibly, hanging out with her.

Tonight I asked him point blank And he lied to me about it to my face. Without any sign of remorse for it.

I don't know what to think right now.

He hasn't really been acting weird. He does show he loves me. But the schedule for him to sleep here and then at his place is on his schedule Whenever he wants. Tonight I even specifically asked if he would go home instead and he really just wanted to stay.

So right now I'm confused on what to do.

This ex would also message him at midnight on several occasions. He also called her 4 times one night instead of going to my house, she drive him to his mothers. (Before he got an apartment). Weird texts too, although nothing sexual....so far that I've found.

I understand I don't like it, but to lie really hurts and makes me wonder what else he's lying about.

Anyone have some advice? I really really need some non judgementsl advice.

EDIT***** since I didn't make this known, he lied to me about even talking to her.