Combine first 10 ingredients in a large zip-top freezer bag or a large bowl. Add chicken pieces, turning to coat well; seal or cover and chill for at least 8 hours (overnight is best), turning chicken occasionally.
Arrange chicken in a single layer in one or two 13- x 9-inch baking pan(s). Pour marinade evenly over chicken, and sprinkle evenly with brown sugar; pour wine around pieces.
Bake at 350° for 50 minutes to 1 hour, basting frequently.
Remove chicken, dried plums, olives, and capers to serving platter. Drizzle with 3/4 cup pan juices; sprinkle parsley evenly over top. Serve with remaining pan juices.
Choose a mixture of everyone's favorite cuts of chicken--such as one package each of bone-in breasts, legs, thighs, and wings--or purchase pick-of-the-chick packages or chicken quarters to equal 8 pounds.