When Ella is discussing the victim, she describes him as being on the 'cement'. To be accurate, she should have said concrete, as that is the active ingredient that causes concrete to set. However, Ella is not a building contractor, and like many people, apparently uses the two terms interchangeably.
When Lucifer throws his tie on the table, it lands on the plate of chicken, but in the next shot, it is lying on the table next to the plate.
When the character is showing a picture of the graffiti that Juan Perez supposedly left on a miniature golf course castle, it is obvious that the graffiti is actually annotations on top of a picture of the castle and not spray paint.