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)
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!