Should I be worried?

My fiance has this friend who he connected with again a couple years ago when him and I were having problems and separated. She told him she used to have feelings for him.

Well, she randomly reaches out to him all the time wanting to hang out or talk. I saw messages from her where they talked at 3am and then she has texted him at night while we are watching a movie. She just texted him asking what he was doing for his bday and said she and her sister wanted to hang out with him. He wants to have a party at the house (but I will be gone at my sister's babyshower) and he invited them to come. I told him I want to meet her and am super uncomfortable. He constantly is accusing me of cheating and doesnt like me talking to any guy PERIOD. So why is this ok for him to do?

I just went to her facebook and he has been liking her pictures of just her as well. I'm really bothered by this, but he swears I have nothing to worry about. I think the fact that he doesnt like me to talk/ hang out with guys at all, yet he can text some girl he used to know at 3am or at night after I put our baby down is not right.

Do you guys think I have something to be concerned about?