Rosemary Rack of Lamb with Roasted Potatoes and Carrots for Two

Name: Rosemary Rack of Lamb with Roasted Potatoes and Carrots for Two
Ingredients: 1 (1–1 1/2-pound) rack of lamb, fat cap scored; 1 garlic clove, finely chopped; 2 teaspoons chopped rosemary; 1/8 teaspoon freshly ground black pepper; 1 1/4 teaspoons kosher salt, divided; 1 tablespoon white miso paste; 1/4 teaspoon smoked paprika; 5 tablespoons unsalted butter, softened, divided; 2 medium yukon gold potatoes (about 1 pound); 1 teaspoon honey; 1/4 teaspoon ground coriander; 1/2 pound medium carrots, peeled; 1 tablespoon finely chopped parsley