Heat oven to 375°F. Combine fruit punch, broth, mole paste, and salt in a Dutch oven big enough to hold the chicken and vegetables. Bring to a simmer over high heat, stirring to dissolve the mole paste. Remove from heat.
Generously season chicken inside and out with salt and pepper. Place chicken in the pot with the mole mixture and turn several times to coat. Arrange vegetables around the chicken, cover and put in the oven.
Cook for an hour and a half, basting with the mole mixture every 30 minutes. Uncover and cook another 30 minutes or until chicken is very tender and top is golden.
Cut chicken into pieces and serve with the veggies and sauce.