1. Neither the heating element nor the pilot light works:

Why: The mains cable is not connected.

How to: Connect the main cable.

Why: No current.

How to: Check and repair the main cable.

2. The pans adhere to the glass:

Why: Melted material between the pan and the glass.

How to: Put the plate at maximum power and try to remove the pan.

Why: Pans have aggressive bottoms.

How to: Check the base of the pans. Do not slide them on the glass.