Preheat oven to 425 degrees F.
Place the salmon on a baking sheet and season the salmon with salt and pepper. Combine the softened butter with paprika, cayenne, and garlic. Spread the butter on top of the salmon and bake for 12-15 minutes or until the desired degree of doneness.
Meanwhile, heat 2 tablespoon butter in a medium pan over medium heat. Add the lemon and jalapeno slices and cook until browned on both sides, about 5 minutes. Remove from heat and add the juices from the salmon along with the chopped cilantro. Drizzle the relish on top of the salmon and serve with the caramelized lemon slices if desired.