When Lucifer arrives to the satanic meeting, the doorman tells him, "You're supposed to be blonde." Lucifer is blonde in the comic book. In fact, Neil Gaiman, the author of the comic book, insisted to the artist that Lucifer must look exactly like David Bowie.
Corazon's real name was revealed to be Mike Carey. Mike Carey was also the name of the writer who wrote 75 issues of "Lucifer: Nirvana" from June 2000 - August 2006, which was preceded by his work on "The Sandman Presents: Lucifer" mini-series in 1999.
(at around 31 mins) There is a background shot of Los Angeles with a prominent signboard of Melissa Benoist as Supergirl (2015). Both are DC Comics characters, but Supergirl was airing on CBS, and Lucifer was airing on Fox.
"Children of the goat" translates to "filii autem capra" in Latin. "Autem" is omitted. "Filii capra" just means "children of goat," which is functionally identical.
The title is said by Malcolm Graham.