For the Peruvian Chicken, place chicken in large resealable plastic bag or glass dish. Mix all remaining chicken ingredients in small bowl. Add marinade to chicken; turn to coat well. Refrigerate at least 3 hours or overnight for extra flavor.
Meanwhile, prepare the two sauces. For the Green Sauce, place all ingredients in blender container; cover. Blend on high speed until smooth. For the Rocoto Sauce, mix all ingredients in small bowl until well blended. Cover and refrigerate both sauces until ready to serve.
Prepare grill for indirect medium-low heat (275°F to 300°F). Preheat grill by turning all burners to medium. Turn off burner(s) on one side. Remove chicken from marinade and place on unlit side of grill. Discard any remaining marinade. Close grill.
Grill 40 to 45 minutes or until internal temperature of thickest part of chicken is 165°F, turning occasionally. Move chicken to lit side of grill with skin side down. Turn lit side of grill to high.
Grill, uncovered, 3 to 5 minutes longer or until chicken is charred. Cut chicken into serving size pieces. Serve chicken with Green Chile Sauce and Creamy Rocoto Sauce, and lime wedges, if desired.