The New Zealand accent which Liv (Rose McIver) puts on for part of the episode, is McIver's actual accent. She was born and raised in Auckland, New Zealand
In order to find a lost dog, Ravi eats the brain of a heroin addict named "Dennis Mennis." This is an homage to the character 'Dennis the Menace' from the classic TV series and comic strip.
When Major is talking about Mama Leone's execution, he says "Her death, while tragic, probably saves lives." Liv replies with "I've seen that movie, too. You're quoting the bad guy!" The movie she's referring to is "A Few Good Men," in which Jack Nicholson's character makes a speech similar to Major's.
The title is paraphrasing the play and eventual movie, My Fair Lady (1964) and the fact that being a zombie, Liv (Rose McIver) is "really fair" or pale.
GC is short for Good Chap.