What is Justice?
Justice is accountability to the law. Being brought to justice is being held accountable for actions as the law mandates. The only fairness that Justice needs to adhere to is that everyone be accountable to the law.
While fairness is relative, justice is not. When questioning whether a law is just or not, the only criteria is if the law adheres to the rest of the laws in a given system.
All that social justice should imply is that everyone individual is held accountable under the same set of laws. It never should imply fairness or equality except that everyone is equal under the law.