Grilled Seafood Kebabs and Orecchiette with Arugula

Name: Grilled Seafood Kebabs and Orecchiette with Arugula
Ingredients: 8 jumbo scallops, about 2 ounces each, halved; 16 large shrimp, shelled and deveined (about 1 pound); 16 cherry tomatoes; Salt and freshly ground pepper; 2 tablespoons extra-virgin olive oil, plus more for brushing; 2 cups orecchiette (6 ounces); 2 tablespoons unsalted butter; 1 shallot, minced; 2 garlic cloves, minced; 1/2 cup chicken stock or low-sodium broth; 4 cups packed baby arugula (4 ounces); 1 tablespoon fresh lemon juice; 1/2 cup freshly grated Parmigiano-Reggiano cheese