(a) That's wrong. The registration of a business name is not purely a formality. When a business name is registered, there are certain other things that have to be done by the person conducting the business.
The name of the business must be displayed in an obvious position outside the registered business address.
The owner(s) of the business must start trading within three months of registering the business name.
The business name must be re-registered every three years.
Notice must be given of any changes to the ownership, address, or nature of the business so that the registered details remain current.