You continue to chase him as he bolts toward the Luna Vista Police Department. He ducks in the main entrance. Something tells you not to follow him into the building. Detective Fletcher could have an issue
helping you cover your tracks if you murder a pedophile right in the middle of the police department!
As funny as that might be, you'd probably be arrested at a minimum. Hell, you might be arrested anyway for chasing him and yelling "Prepare to Die!" but probably not. The people of Luna Vista are pretty good
about minding their own business about your harassment of child molesters.
About half an hour passes, and you realize you've got stuff to do, so you'll have to deal with Jared Scheibner later...