Matzo Ball Soup

Name: Matzo Ball Soup
Cuisine: Israeli
Ingredients: 1 4–5 pound chicken, cut into 8 pieces; 1 pound chicken wings, necks, and/or backs; 2 large yellow onions, unpeeled, quartered; 6 celery stalks, cut into 1" pieces; 4 large carrots, peeled, cut into 1" pieces; 1 large parsnip, peeled, cut into 1" pieces; 1 large shallot, quartered; 1 head of garlic, halved crosswise; 6 sprigs flat-leaf parsley; 1 tablespoon black peppercorns; 3 large eggs, beaten to blend; 3/4 cup matzo meal; 1/4 cup schmaltz (chicken fat), melted; 3 tablespoons club soda; 1 1/4 teaspoons kosher salt; 2 small carrots, peeled, sliced 1/4" thick on a diagonal; Kosher salt; 2 tablespoons coarsely chopped fresh dill; Coarsely ground fresh black pepper