When Carrie, Doug, Deacon and Kelly are in the restaurant, Carrie's napkin and fork jump from scene to scene. Her fork is on her napkin and when the scene cuts back it is off the napkin. It does this several times and in the final scene the napkin disappears completely.
In the previous episode, they replace their refrigerator with one they bought from a college student that is much smaller and does not fit in the spot correctly but that refrigerator is gone and the old, broken one is back in this episode.
Kelly says she and Deacon visited the Modern Museum of Art. The correct name is Museum of Modern Art.
Around the 14:00 mark, Doug and Carrie enter the kitchen. When the camera cuts to just Carrie with the kitchen door in the background, Kirby can be seen behind the door before he is supposed to enter.
In the final scene, when Doug carries Arthur out of Deacon and Kelly's apartment, you can see him put Arthur down when he enters the hallway.