The first tool is for removing the plastic escutheon surrounding the lock unit. The tool for removing the lock bezel is shaped like a ring with four spokes and it is coated with rubber in order to grasp the bezel. Most bezel's can be easily rotated with your fingers once they are relased with the one of the wire types in the second picture.

If you are planning to replace the "electrical switch" please remove the lock and switch as an assembly, you will discover that life is much easier with the entire unit in your hand.