When Lucifer is looking at the poster of Penelope Decker you can see Trixie's doll on the floor where Lucifer threw it. When Chloe makes him leave it is no longer on the floor yet nobody picked it up.
When Josh pulls his camera from his car, we see that it sports a Canon EF 24-105 f/4 L. For some reason the wrong lens hood is taped on, apparently the type from the EF 24-70L. Moreover, the following viewfinder POV shot does resemble what would be seen through certain Canon DSLR's, but an aperture of f/2.8 is indicated -- which is impossible with the f/4 lens that is shown.
At 18:15- The Uniformed Police Officer has her blouse unbuttoned farther than what is allowed by Police Grooming Standards.