When Rory is sitting on the bus from New York to Stars Hollow, the cast on her left arm is gone when she's talking to another passenger. The next time we see Rory at the Gilmore house in Stars Hollow, her cast is back.
When Emily, Lorelai and Richard are going to take the picture, Richard lifts his arm as if he is going to put it around Lorelai's shoulder. The angle changes and his hand is no longer raised. He then raises it again before finally lowering it.