That's weird on 100 levels. First of all, Jeff isn't famous enough for any paparazzi to give a fuck about him picking up his kids, so it must have been a GD fan. Second, Jeff has said that his family is private, like when a fan asked him on Twitter what his kids names were or about them or something, he said he didn't want to talk about his private life at all, like even saying his kids names. If Jeff gave the guy permission to post it, he probably wasn't thinking it was going to be something Green Day fans would see and I bet he wouldn't appreciate it.
And finally, it's not Green Day news, that's for sure.
Not to mention school is not currently in session soooo even if it was news, it's old news