When Peter states why he doesn't believe in the Bogeyman, he's dressed in his pajamas. After Egon says, "I say we investigate, now!" he's suddenly in his Ghostbuster uniform.
When the Ecto-1 pulls up to the Carter house, two Peters get out of the car, one in the driver seat and the other directly behind the first.
In the Boogieman's domain, when the Ghostbusters are lying on the platform before the snakes form a dome around it, Ray's gloves are colored like his skin.
The Ghostbusters are hired by two children to help them get rid of the boogieman who has been disturbing them in their sleep. How did those kids get out of the house in the middle of the night and make it to Tribeca in their pajamas without any cops or worse picking them up in mid 80's New York City?