The film being shown at the movie theater, in which Dillon, Troy and the Space Scouts are members of the audience, is the 1955 science fiction movie "This Island Earth".
Judging by the conversation held by the people in the car, the time of this episode is on or around Halloween which explains the ease with which the Cylon and the human-looking Cylon are accepted.
Adama: ( referring to Cylons) If they're so all mighty powerful, why don't they simply destroy us?
Zee: They wish to experiment with their new machines...
Adama: Using us as living targets....
Boy: I know what happened. ( gesturing towards Troy and Dillon) Those two zapped them with the flashing lights.
Captain: What did he say?
Dillon: You know children... vivid imaginations....
Skylab:
There are several references to the Cylon ship crashing being similiar to Skylab. In July 1979, the US satellite Skylab crashed into a desert area of Australia after intense speculation by scientists and others as to where it would crash.
At the airport: "Hijack," "Smoking or Non-Smoking," "Cuba" Troy and Dillon's experience in the airport represent a time long past where smoking was allowed on commercial flights and security was not sophisticated enough to spot them or detect their laser weapons. The hijack attempt represents a phenomenon of the time--Cuban refugees released by Castro and sent to the U.S. hijacking aircraft to return home.