Preheat oven to 350°. Pour apple juice and water into a large shallow roasting pan. Mix seafood seasoning, paprika, garlic powder and pepper; rub over chicken. Place in roasting pan.
Bake, covered, until juices run clear and a thermometer reads 170° to 175°, 50-60 minutes. Transfer chicken to a foil-lined 15x10x1-in. baking pan. Whisk barbecue sauce and sweet tea; brush some of mixture over chicken.
Place chicken on greased grill rack; grill over medium heat 3-4 minutes per side, brushing occasionally with remaining sauce.