House's last line, "Vini, Vidi, Vici," is a Latin phrase attributed to Julius Caesar after a successful military campaign meaning, "I came, I saw, and I conquered." The line is also spoken by the title character Tartuffe in the play of the same name after Tartuffe successfully invades a girl's heart. House presumably answers this to Wilson after winning his parking space back by making Cuddy feel guilty.
Jessy Schram and Jennifer Morrison go on to work together again in Once Upon a Time (2011). Morrison plays Emma, daughter of Snow White and Prince Charming, and Schram plays Ashley Boyd, known as Cinderella.
House saying, "Because we need to take the center square to block," references the TV series The Hollywood Squares (Daytime) (1965) and its several successors. The game is a giant-sized version of Tic-Tac-Toe, where the contestants listen to a celebrity answer a question and determine if it's true or false. If they're correct, they "get the square." As in regular Tic-Tac-Toe, taking the center square is usually a necessity.
Jake Richardson and Jesse Schram also appeared on the show Medium, but not on the same episodes.