Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: At the beginning, the preacher is walking around with the donation mug. The first kid to put a few bucks in does it across two shots and has a very notable yellow hand-held device when he puts the money in that was not there in the first shot. (00:02:00)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: When Lucifer shows his devil face to the preacher at the start, the mascot behind Lucifer changes between shots. (00:03:00)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: The fake preacher runs away leaving all the money behind: in the overhead shot Lucifer says "I'm here till, well, the end of times actually" turning around past a guy (big hair, big sideburns, black and blue shirt) that he already passed in the shot before as he thanked the crowd. (00:03:20)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: Chloe is being debriefed by her ex about the crime scene. There's a close-up of the photographer who will be the key of the case, being physically pushed away by a policeman. The scene goes on with him in the background in many shots, all on his own, snapping away as if nothing happened. (00:08:55)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: Lucifer easily walks past the police tape and approaches Chloe and Dan. The same paparazzis appear behind him (mostly past the police car) and behind them, opposite ends of the road. (00:09:00)
Lucifer, Stay. Good Devil. - S1-E2
Factual error: The apple scene (as it often happens with Amenadiel's scenes) does not make much sense: ignoring the fact that the liquid in the glass suffers no slowdown (we can assume that being in Lucifer's hand somehow protects it), the apple is already on its descending arc when the two are talking by the piano, but is still up there well after a minute. By the speed it moves, it should already have fallen. Also, why would it drop vertically and not continue its trajectory? (00:13:50 - 00:15:50)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: Lucifer tosses the ninja chemist doll towards the door, and it lands on the rug in front of it. Nobody picks up the doll, but when Chloe shoves him off the premises, the doll has disappeared. (00:17:00 - 00:18:10)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: Immediately after the close-up on the poster of Demon Town with Penelope Decker, Lucifer holds the trophy. From behind it's evident that Chloe's healthy arm is down her side, but in the reverse shot she has her arms crossed. (00:17:30)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: In the interrogation room with Nick, more than once (for instance when Lucifer says at the beginning "I don't want to know about the case") when Jeremy Davies lifts his open hands and holds them up, they are held up at a different height between one shot and the reverse. (00:18:50)
Lucifer, Stay. Good Devil. - S1-E2
Other mistake: The dynamic of the scene with the paparazzi outside the party is quite absurd: forgetting the fact that the paparazzo just happened to have amazing parking privileges (the only sedan in the street, allowed somehow right by the red carpet!) the timing is all wrong, as he "just" made his escape a minute later, witnessed by Chloe walking away just then from the paparazzi brawl. She had walked past their lot already over 30 seconds before, while Lucifer stayed behind forcing the comical confession out of 'Friar Tuck'. (00:26:00 - 00:26:35)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: Talking with her daughter at the end of the episode, Chloe stifles her laughter with her hand in front of her mouth. In the matching reaction shot her hand is still on her chest. It happens again twice. (00:40:30)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: When Chloe asks Jimmy about Lucifer at the end of the episode, her good arm is down her side when seen from behind, or folded in the frontal views. (00:42:25)
Lucifer, Stay. Good Devil. - S1-E2
Revealing mistake: When Jimmy grabs the cell's door, in the shot that happens before he starts banging his head on it, the supposedly secure door gives way effortlessly, showing big gaps. (00:42:30)
Lucifer, Stay. Good Devil. - S1-E2
Continuity mistake: The quantity of blood on the door changes between shots, incoherently, when Jimmy is hurting himself, smashing his head on it. (00:42:35)
Lucifer, Stay. Good Devil. - S1-E2
Other mistake: We are shown several times the first person perspective of a paparazzi camera, with the HUD. From a diegetic point of view though, it is used in a way that lacks coherence. For instance, in the red carpet scene the photo count goes down by one every time the shutter clicks, while in the car scene it does not go down at all. And it really could not have been Josh's camera in the red carpet scene, because it photographed Chloe once he already escaped and from behind.
Lucifer, Stay. Good Devil. - S1-E2
Other mistake: Despite the presence of multiple paparazzi on site while a civilian opens a police car, drags the main murder suspect out of it for some rough questioning and generally creates a suspicious scene, nothing about it leaks in the news (one guy even takes picture of the other side of the road!).
Answer: At least as far as clothing goes, I was in regular clothes when my wife gave birth, only changing into scrubs when they thought we'd have to move to an operating room (but ended up not needing to), otherwise I'd just have stayed in them. The room was also pretty much a regular hospital room, but no doubt there were some birth-specific differences I wasn't aware of!