Once again I’ll never be good enough for anyone!

So I’m dating this guy! He has two kids. Four year old and 9month old(he says him and his kids mom been broken up! I kind of feel when things aren’t right. So I went snooping through his phone (he said he left it open for a reason for me to see) he’ll txt her things like gm my babies/daddy love y’all. He also asked when will they get back together(he calms I have don’t anything to worry about :such as him and her getting back together) I don’t have a problem with dating men with kids but I do have a problem with him texting her all day!