Svetlana Kirilenko says her boyfriend Bill is in Florida following the New York Mets in spring training; however, when Paulie sits down to watch TV in a later scene, we see the New York Yankees playing the Boston Red Sox in Yankee Stadium in a regular-season game.
Dominic says an intervention is a non-judgmental confrontation, but the participants' words to Christopher (especially Paulie's) are highly judgmental. However, it is stated earlier in the episode that none of them has ever participated in a intervention, and these characters are not generally inclined to follow rules or moderate their admonitions.
Christopher didn't use an alias when checking into the rehab center.