1. Add rice vermicelli and teaspoon salt to boiling water; cook until al dente, about 3 minutes. Drain, rinse, and set aside.

2. Add chicken and remaining 1 teaspoon salt to boiling water. Reduce heat to medium-high; simmer chicken until cooked through, about 10 minutes. Remove chicken from water; reserve water. Slice chicken across the grain 1/8 inch thick and set aside.

3. Return water to a boil. Add shrimp; reduce heat to medium-high. Cook shrimp until opaque, 2 to 3 minutes. Drain. When cool enough, remove shells. Cut each shrimp in half lengthwise, devein, and set aside.

4. Fill a pan large enough to hold the rice paper with hot water. Dampen a clean kitchen towel with water; spread it out on a clean surface. Immerse 1 sheet of rice paper in the hot water until softened and flexible, about 1 minute. Transfer to dampened towel and smooth out. Fold paper in by 2 inches on right and left sides. Place 4 shrimp halves in a row, cut side up, 2 inches from bottom edge, and top with 2 to 3 slices chicken. Place 1 heaping tablespoon vermicelli on top and sprinkle with about 1 tablespoon bean sprouts. Cover with 5 to 6 mint leaves. Place 1 or 2 pieces of lettuce, curly sides out, on top. Fold bottom edge of rice paper over filling; roll up tightly to form a cylinder about 1 1/2 inches in diameter. Repeat until all the ingredients are used up.

5. Cut rolls into two or four pieces, and arrange on a serving platter. Top with peanuts and dabs of chile paste, and garnish with mint leaves. Serve with Peanut-Hoisin Sauce and Vietnamese Dipping Sauce.