Place the oranges, lemons, limes, pear, kiwi, strawberries, pineapple chunks and juice, and white sugar into a large bowl. Pour the Cointreau, white rum, coconut-flavored rum, and orange juice over the fruit. Stir gently to dissolve the sugar. Cover and refrigerate for 2 hours.
Add the red wine, pink lemonade concentrate, lemon juice, and lime juice. Cover and refrigerate for 2 hours, or overnight.
Before serving, add the chilled lemon-lime soda. Serve over ice, spooning the fruit into the glass with the liquid. Garnish with an orange slice or maraschino cherries.