Baby Mama Drama

Hello Ladies, my boyfriend’s baby mama has been posting things on her page to make it seem like if they’re together. I’m having a hard time believing my boyfriend because I caught him lying to me a week ago about where he was at. He sent me a picture of himself in a living room I didn’t recognize and he said it was the second living room from his parents house that I had “never seen.” But when I looked at her page, I saw it was her house (or mom’s house). I confronted him about it and he said he didn’t want to tell me where he was at (dropping off his daughters and talking to her about them) because I’d just start fighting with him (I admit I do.) Last night I posted we were together, and today she posted an hour ago (doesn’t tag him or post a picture) that she checked in to a restaurant (usually when she posts public is to “signal me” he’s with her.) I called him immediately and he was home. Said I was “tripping again” and that I’m allowing her to mess with my head. He said me doubting him every second was going to get old, and I agree. He said “Think about it, she made the post public an hour later. Why? Because if she would have made it public when she supposedly got there you could have called me and I’d answer from home.” We’ve been together a year and some change. Should I just end this? She seems determined in breaking us up.