Factual error: In the scene where J.D goes to Elliot's apartment and finds Dan there he sings along to "Thank you" by Dido. However that song is from the album "No Angel". The album cover shown in the episode is "Life for rent" which doesn't feature the song.
Factual error: When Lloyd is driving Jack back and listening to speed metal, his gear stick is in park.
Factual error: The Toyota Prius uses an electronic transmission that requires the ignition to be turned on. Since J.D. said that he had no idea how to operate the car, he could not have pushed it from the parking space because he wouldn't have been able to put it in neutral.
Answer: No, it was a fake, they used a stamp.
It is real.