This episode establishes that Crane has an eidetic (photographic) memory, which will serve him well for the rest of the series. Remembering things he sees with "near perfect precision" ; languages, sights, sounds, even smells.
At 40:16 the view appears to be stock footage from the Tappan Zee Bridge of Tarrytown, New York as seen from the Rockland County side of the Hudson River. Until recently Sleepy Hollow was known as North Tarrytown.
At 5:35 the scene which Crane sees on the TV is from the most recent Planet of the Apes franchise..
The insignia on the police cars' doors states "Sleepy Hollow Sheriff". Here in New York State officers of the law in cities, towns and villages are designated "police officer"; at the county level "sheriff"; and at the state level "state trooper". As Sleepy Hollow is a real village in Westchester county in New York State, the correct label would be "Sleepy Hollow Police" or "Westchester County Sheriff".