Fairness is a kind of justice, and justice can take many forms. It can be thought of as giving someone what he or she deserves, or as equal distribution of goods and services; and, to complicate the matter further, each of these views has many iterations and variations. "Justice" is a term that can be applied to nations, states, cities, and persons.
The question we need to ask is: what is it for you to be just? To answer this question we should emphasize what it is you can most control: how you treat people. With that in mind, justice should be thought of as treating people fairly, and this includes yourself.