A Chance At a Happy Ending - S5-E16
Other mistake: After Amenadiel's necklace pin is removed, Chloe tells lucifer to get the blade, and he picks it up with the hilt still attached. But we saw in an earlier season that without that pin to hold it all together, the hilt just falls off.
A Chance At a Happy Ending - S5-E16
Continuity mistake: A guy with a face tattoo is in the opening scene, then the tattoo isn't there when the guard gets up.
Continuity mistake: The first half of the episode is based around the same time as early season 1, yet Reece is in the new precinct, which wasn't introduced until late season 2. (00:07:06)
Lucifer! Lucifer! Lucifer! - S5-E2
Character mistake: Chloe and Lucifer are sitting in Chloe's police cruiser staking out a suspect's car, and they get into a pursuit with the suspect in his Porsche. Chloe's police cruiser had no police lights or sirens blaring during the pursuit. Plus they are in a heavily populated metropolis; doesn't make any sense why they wouldn't have their lights on. It's standard police procedure to alert other drivers an emergency vehicle is on route, so they can yield/pull over and take care. (00:22:20 - 00:24:00)
Character mistake: Charlotte Richards says to Amenadiel that he and Pierce were "both former immortals who became mortal." Amenadiel never lost his immortality in any of the previous episodes, he just lost his powers. He can be killed by celestial objects like blades or other sharp objects. Pierce however did lose his mark because of Chloe's love, it is assumed, so he became mortal. (00:12:45)
Mr. and Mrs. Mazikeen Smith - S3-E3
Factual error: The therapist says to stop the bleeding, Maze will have to remove the bullet and stitch him up. Gunshot wounds are complicated. To remove the bullet one must first perform an X-ray to see where it is, and after the surgery is completed, especially for a gutshot, surgical drains need to be installed till the wound heals. It's a hollow space that will fill up with bile and nastiness and drains are needed to collect the fluid, or else it will just get infected. If only it were that simple. (00:26:30 - 00:27:00)
Devil Is as Devil Does - S4-E7
Character mistake: On Earl D. Bolden Jr.'s wanted poster, it says "if you see this man NO NOT approach..." It should say "DO NOT."
Plot hole: Lucifer's evil brother Michael appears too Dan as he is praying upon Charlotte's grave from heaven. He tells Dan he can right all of his wrongs. His plan is to hurt Lucifer. It's stated that God sees all and hears all. "The eyes of the Lord are everywhere, keeping watch on the wicked and the good" (Proverbs 15:3). Doesn't make sense how Michael is able to travel from the Silver City to Earth to hurt Lucifer without Dad knowing or having any input, since Michael has a direct line to his Dad. (00:17:00 - 00:19:40)
Other mistake: If Lucifer is only vulnerable when Chloe is around, why is he bleeding when his brother is hitting him on the beach after Lucifer burnt his wings? Chloe is nowhere around, why is he bleeding?
Suggested correction: Angels can hurt other angels, this has been shown throughout the show. Amenadiel even told Remy as much (not to mention that Remy hurt Amenadiel).
Plot hole: Lucifer and Amenadiel realise baby Charlie calms down and gets put to sleep when he sees Lucifer's devil face. Dan just left Amenadiel's house, and he gets a phone call with Lucifer's voice telling him to come back to the house. He turns around and sees through the window Lucifer's devil face. It is revealed that Lucifer's evil twin brother called Dan to expose Lucifer. Makes no sense how Michael knew that Charlie responds to Lucifer in that way. He would've been seen peeking through a window. (00:49:35 - 00:52:00)
Suggested correction: You essentially explained the plot. Michael had been watching them the whole time. In fact, when Michael calls Dan, Dan first responds with "hey, man, what's up?" because he saw that it was Lucifer calling him. One way for Michael to have Lucifer's phone is because he saw Lucifer throw it out the window earlier.