In dire need of advice!

Okay so long story somewhat short I have been seeing this guy, no labels on the relationship but I do have a child that he has met and I stay at his house for long periods of time, have toiletries there, have spent holidays there, his family calls me his girlfriend and we go on outings together etc. We had a bit of a falling out and some rude things were said on both ends and I stopped talking to him for about a month. I then reached back out and went to visit him and saw that one of my ex friends sent him a random video with no other previous messages. I immediately messaged her and asked her why she was messaging him and she said she was trying to get with him and he said she was good looking and he told her that we got into a fight and he realized why he wasn't dating me. I then asked him why he would do that and he said he was drunk and he would block her and he was sorry he ever did it. I know they never hung out, but now im just worried and paranoid as to who else and what else he has said about me. It kind of broke any trust I had for him... should I forgive and forget or should i just try to move on? I know everyone makes mistakes when mad, and we aren't exactly together, but now im thinking it will never progress to a relationship... opinions ?