When they are at the front desk checking the log for what time the traveler came in, the fan on the desk goes on and off between cuts.
The Traveler refers to the law enforcement personnel, and they refer to each other, as "deputies." Deputies work for sheriff's departments. They are clearly municipal police, who would refer to each other as "officers," or by their ranks.
Supposedly, Mary Black was alone when she was abducted. Yet, the photo of Mary on her father's desk seems to have been taken on the same day in the same outfit in the same spot where the abduction took place, as verified by flash images of the crime.
When Mr. Nobody Val Kilmer gets in the police station it's pouring rain outside come inside not even a drop on his coat and his hair are still dry.