The one thing that bothers me is the trip to the schoolhouse...it and the police station are on opposite sides of the town, it is a relatively long distance to cover. Time would be ticking, especially if the police station was already on fire from the fight. Anyone on the west side of the hotel could look out their window and see the smoke...and potentially the culprit running around.

Like Hofferson-san said, the time frames are very odd, especially including their supposed trip to Selena-san's room. The culprit would have to be very fast.