if only it was official

I think is very weird how this guy that I am talking to calls me babe. He text, FaceTime or calls me almost everyday. I never met his family in person, but I know a lot about them. We have been talking for about a couple of months. When we first started we said to each other let's talk and see where it goes but for now let's no rush anything. Everything has been going good with him. I just wish it could be official. Sometimes I feel like if I do something wrong and post something about a favorite guy celebrity he gets a little jealous but In a "joking way" he will bring it up  or when I don't reply back to him and just ignore him for a few hours, he gets a little jealous but he doesn't over do it. I was just wondering do you think we might be going somewhere or should i completely stop giving him the time of day until he takes me serious ? Idk ladies I need great advice