I don't understand , I need some insight

Okay so this is gonna be long but hopefully it doesn't sound like broken.  So my boyfriend and I first met in December on a dating website. And he would text me every day , good morning babe and junk , always trying to FaceTime. At first I was really resistant about it , actually to the point you would think he would just quit and stop but no ( that was the reason I continue talking because he still had a high interest in me) so in April he asked me himself do you think I'm boyfriend material.  ( at this time we met in person and went on a date ) so he asked me to be his girlfriend and I said yes because obviously I'm feeling him. So I'm here , not all the time but 90%of the time I'm here. He doesn't say hey don't come over today I'm busy or anything he welcomes me to come over , even when he isn't here. On mother day we went to go see my mom and in the same day I met his mom and two brothers. And here is where the problem is.  I'm not stupid , I notice he get a lot of texts from females ( he told in the beginning that his exs hit him up sometimes) so I decided when he was in the shower to go through his phone ,  and there is females ( select ones that show up in his messages)  he calls babe and all him babe , send him nudes and one talked about how she had a dream they had a baby together and he even said he had a dream about it too ( who knows if he telling the truth ) when they ask him where have you been I been trying to text you he lies and tells them he was asleep all day or working (which isn't true , he is with me )  he even still has his badoo account . I don't understand why I'm here ..... Am I not doing something right ? I don't get it.