The store next door exists in the actual episode. It is called "Color Me Dead: Paint Your Own Tombstone" and is going out of business.
Burger of the Day: The Leek-y Cauldron Burger
This episode does not have the traditional opening.
At the beginning, when the scene switches to the present, a black van marked "Fly-Day the 13th" pulls away from in front of the restaurant.
The Burger of the Day "The Leak-y Cauldron" is a reference to "The Leaky Cauldron" a wizards pub in Harry Potter and where you can get to Diagon Alley