In the opening sequence when Lorelai and Sookie are discussing Lorelai's drunken exploits at Lane's wedding, a dish of tomatoes repeatedly appears and disappears on the counter behind Sookie.
The scene where Rory talks to Logan after Logan's father comes to see him is not shot in two different places. You see many lamps and other miscellaneous items in the background while they are talking, but these are all gifts and items that have been brought to Logan's hospital room. The background behind Logan's head is clearly the wall in the hospital room, which is why he still continues to say that they are in the hospital. The pull back shot at the end is also of them in the hospital room.
When Rory is on the phone while she is at the hospital with Logan she has a flip phone. However, in the previous episode, I Get a Sidekick Out of You (2006), Rory's dad, Christopher, gives her a Sidekick (which is not a flip phone). However, later in the same episode Lorelai tells Rory that she is keeping the Sidekick that Christopher has bought.
After Mitchum visits the hospital and Rory and Logan are talking, you can see the tissue paper in Logans mouth where his face is meant to be swollen.
Lorelai compliments April's friend Marcia on her makeover by telling her she looks like Sofia Loren, and Marcia says she was going for Vanessa Milano, but she pronounces it "Ma-ni-lo".