The Pareto distribution has been validated recently as a model for X-band high resolution maritime surveillance radar clutter returns. As such, coherent and incoherent detection schemes have begun to appear in the literature. Consequently, constant false alarm rate (CFAR) detectors have also been explored in recent work. This paper introduces some new detectors, designed to manage issues associated with interfering targets and clutter changes in the CFAR training cells. Additionally, the existence of an optimal CFAR is examined, to see whether such a detector can exist as in the Gaussian intensity case.