Chicken and Stars Soup

Name: Chicken and Stars Soup
Ingredients: 1 (3 1/2 pound) whole chicken; 2 medium yellow onions, 1 quartered and 1 chopped; 2 medium parsnips, trimmed, 1 cut into large chunks and 1 cut into 1/4-inch slices; 3 large celery stalks, 1 cut into large chunks and 2 cut into 1/4-inch slices; 2 garlic cloves, peeled and smashed; 2 thyme sprigs; 6 flat-leaf parsley springs, 3 whole and 3 chopped; 12 dill sprigs, 6 whole and 6 chopped, plus more for serving; 2 bay leaves; 1 teaspoon whole black peppercorns, plus ground black pepper; Kosher salt; Zest and juice of half a lemon; A few passes of freshly grated nutmeg; 2 cups all-purpose flour, plus more for dusting; 1 1/2 teaspoons kosher salt; 1/4 teaspoon freshly grated nutmeg; 2 large eggs; 1/4 cup water