When Faye compliments Don's "punim" in this episode, he is not sure what she is talking about. "Punim is a Yiddish word meaning "face"; this was taken by a number of TV writers (for example, Diane Winston at the Huffington Post; Rachel Shukert at Slate; Sarah Seltzer and Anne Cohen at Forward) as one of several pieces of evidence that Faye Miller is a Jewish character. This was confirmed by Cara Buono, the actress who plays Faye, in an L A Times interview. When asked to list ways she is different form Faye, she answered, "I have naturally dark, almost black hair and she's blond. She's also Jewish. The line she says in the phone booth when she's telling her boyfriend off. "Go ... in the ocean." That's an English translation of a Yiddish expression. And her father, though he's a gangster, he's not of Italian descent."
Chinese wall is a business term describing an information barrier within an organization that was erected to prevent exchanges or communication that could lead to conflicts of interest. This episode was about the walls that separate aspects Mad Men characters' lives getting destroyed.