Both paraffin and kerosene are the same thing.
Kerosene and Paraffin are a combustible hydrocarbon liquid which is derived from petroleum.
There is a Paraffin wax and that is a waxy solid that is extracted from petroleum.
So paraffin and kerosene are terms used to describe the same thing unless you're referring to the wax based paraffin.
Usually though when you're looking to buy Kerosene most people now know that as Kerosene instead of paraffin.