It looks like I was on the right track this guy is connected to Isshin.
As far as I can tell, Inoue works at a bakeshop.
Jinta and Ururu grew up
The guy who walked into the shop says it's just coincidence (but he looks like he's lying), but he has a job request, and it's to investigate Isshin
After hearing that, Ichigo says, "But Kurosaki Isshin is my father, if there's anything you want to know about him, then go ahead" while raising his voice.
After hearing that its his dad, "That's another coincidence, you sure you can answer what I want to know?" He asks.
"Maybe not. You definitely don't know much about your own family," the guy continued. On the other hand, at the Urahara shop, "Is Urahara-san here?" asks Karin. "Oh my, oh my, isn't this... Kurosaki-san", says Urahara, appearing with a serious face. To be continued.