The kitchen in Niles' apartment is greatly changed from previous episodes. There is a new door in the back leading into a new hallway, and a new cupboard big enough to hold a man. These were likely changed so Kelsey Grammer could sneak in/out and hide.
When Frasier removes the pan from the oven in his own apartment, the pan is clearly cold. He handles it with his bare hands without getting burned.
Niles and Daphne are planning on having a dinner party. Niles says to Frasier, "the whole thing's being catered", but later we see Daphne doing the cooking.