I’m so confused UPDATE

Seen this in my bf messages yesterday after I had a feeling he was cheating on me. Usually he tells me who he messages but with this one he didn’t and previously he deleted messages.

The problem isn’t the messages because it seems innocent it’s the lie he told.... I ask if they had history or if she liked him because she blows him up and he said no ...here’s the lie. He gave me his fb a long time ago but I get on it.

I ask him what made him hit her up and he’s like she hit him up and I’m like no u did and he said she messaged him on fb and I’m like I didn’t see it just now and he’s like then I deleted it I’m sorry babe I didn’t mean to . Then was like she must’ve hit me up when she seen I post your pic.. that’s why I took your pic down ..why would he lie bout who hit up who first

UPDATE:::::::::::He took my pic down 2 weeks ago. It was up for 3 days on his Facebook... these txt just happened. His timeline is off . His fb be better than mine so I stay signed in on his. Not once did I see this girl messsge him...but anyways he been saying he don’t post me cuz I’m too pretty and don’t want the guys on fb to inbox me...and I said the same thing!! He wanted to slick ask if she was taken or not . He claim she used to post her bf and he ain’t seen it so that’s why he asked and he claim he told her he couldn’t talk to her cuz she single cuz I wouldn’t let him talk to single females ....

Updateeee....So apparently she did message him on fb but I was sleep st the time. Anyways my bf let me message her so I had to act as him . I just wanted to know if she liked him and when she replied lol maybe I gave his phone back to him and I’m like yep she like you . He didn’t tell me she replied after that so he took it upon himself to write what’s in the open space . And let me approve it ...I changed his ending that said cuz my gf don’t like it and put cuz I got a gf and then sent she think U like me and I don’t want to lead you on . So I gave it to him to send n he said aww that’s sweet of you babe to put that . And he sent it ....waiting on her reply...