At the big gala, the horn player is playing a variation on the theme from Henry Mancini's "The Pink Panther".
Guest star Bridget Regan appeared in a recurring role on White Collar (2009) which has a somewhat similar premise of a con man and FBI agent working together to stop bad guys.
One of the fake jobs Emma mentions is being a pageant queen; in real life, Catherina Haena Kim was once Miss Virginia in the Miss United States pageant.