What do I do?

I show my hurt through anger. I’m aware that’s not the best way to go about things but I know I’m not perfect. However there’s something really bothering me in my life with my partner. I’ve told him time after time and nothing ever changes. He listens and watches me cry and get it off my chest but he genuinely doesn’t care when it comes down to it. My partner would never admit to it but he is the type that has eyes for other women. I’ve seen his wandering eyes in public. I know he searches random girls on his business fb account. He gave me the password and such fyi. It’s not apart of his job. Him and I don’t have any hobbies in common. He has all this shit to say to everyone else but when it comes to me, he’s mute, he’s a ghost. We have only been together for a year and a half, and we have an almost 3 month old. Things moved fast, which wasn’t planned but this is my life now. He wants his cake and eat it too. He spends money on me, and I’m not entirely sure why. Recently he bought me a pair of $170 shoes for my planter fasciitis. He also bought me an engagement ring which was like $300 or so. He pays my bills which I do appreciate. However the problem is…I can’t seem to get him to admit to this secret obsession he has with many women. I try to make him comfortable, I’ll even end things with him just so he might actually tell me. However when he’s mad or whatever he doesn’t even bring it up. But since he gave me the info to the fb account, he clears his search history but if I was to go type in a letter or a random girls name, they pop up and have been searched before. I know you know what I’m talking about bc it has this magnifying glass next to the name. Anyways my goal isn’t to leave this guy, I want him to tell me what’s going on. And be real about it. I’m tired of us both living in misery bc I can’t trust him and ask many questions everyday. I just want the truth and at this point the only truth I will accept is what I’ve already seen. Him saying it’s not true isn’t going to fly. I don’t want to share 50% of my child with him with me not around that’s going to break my heart. I just feel stuck :/