A justice of the peace is commonly referred to as:

The term "Your Worship" is commonly used to address a justice of the peace, reflecting the formal respect owed to that position. This form of address is rooted in tradition and signifies the authority and responsibility associated with the role. Justices of the peace play an important role in the judicial system, often handling minor legal matters, administrative duties, and, in some cases, presiding over court proceedings. The level of formality in the address helps reinforce the respect for the judicial process and the individuals who serve within it.

The other options, while they denote respect, are not typically used in this context. "Your honor" is primarily reserved for judges in higher courts, while terms like "your greatness" and "your worthiness" do not align with standard legal terminology and are not recognized forms of address within the judicial system.