When Jeff returns to the school after getting a shave with Pierce he has his facial stubble again. When he returns later to see Pierce at the barber shop he is once again clean shaven.
The banner that is being made for Archie is shown completed in the previous episode, which would not be possible, since it occurred before this one.
The first time it's seen that Jeff is getting lathered for his shave, the right side of his face is being covered first. After a scene cut it's shown that the left side of his face is the only one covered in lather.
Carl Bladt mentions Greendale should start a fraternity to get Archie to enroll, but in The Art of Discourse (2010) Abed and Troy are pledging one of Greendale's fraternities, Omega Tau Rho.
Britta states that the biology department needs new animals to dissect. However, in Competitive Ecology (2011) she objects to dissecting anything with a face.
The Dean says Archie has an SAT score of zero. The minimum score is 400.