Heat oil in a large saute pan over medium-high heat. Add potatoes, onions, crab, and jalapeno to the pan and cook until just warmed through. Add the cilantro and season with salt and pepper.
Ladle about 1/4 cup of the Carrot-Habanero Broth into a shallow bowl. Mound 1/4 of the crab salad in the center of the bowl. Top with some of the Beet Relish. Repeat in 4 other bowls.
Place all ingredients in a small nonreactive saucepan and cook until reduced by half. Strain.
Combine all ingredients in a small bowl and season with salt and pepper, to taste.