When Chloe and Dan start to cross the street to the crime scene, there is one black car in the left turn lane visible behind them. When the scene cuts to a wide shot from the opposite direction, the car disappears. However, when they reach the crime scene, the black car reappears.
When Lucifer goes to open the car door for Candy, he wheels her suitcase round to the back for the car. He then closes the door and the driver drives off without him actually having put the suitcase in the boot of the car.
The victim's body was found outside the Whiskey which is in West Hollywood. The Los Angeles County Sheriff's Department would have jurisdiction, not the LAPD.
Lucifer incorrectly describes The Bangles' "Eternal Flame" as a "90s jam." The song was written in 1988 and released as a single in 1989.