Grilled Jerk Shrimp and Grits

Name: Grilled Jerk Shrimp and Grits
Ingredients: Shrimp:; 1 tablespoon chopped fresh ginger; 2 garlic cloves, smashed and peeled; 2 scallions, trimmed and thinly sliced, plus more for serving; 1 tablespoon chopped thyme leaves; 1 1/2 teaspoons smoked paprika; 1 teaspoon ground allspice; 1/2 teaspoon ground cinnamon; 1/2 teaspoon ground cloves; 1/2 teaspoon cayenne pepper; 1 tablespoon kosher salt; 1/4 teaspoon freshly ground black pepper; 2 tablespoons vegetable oil, plus more for grilling; 2 pounds large shrimp, peeled and deveined; Grits:; 1 cup milk; Kosher salt and freshly ground black pepper; 1 cup white grits; 1/2 cup grated white cheddar (2 ounces); 4 tablespoons unsalted butter