Grate rind from limes, reserving 2 tablespoons rind; set aside. Squeeze juice from limes to equal 3/4 cup.
Combine lime juice, lemon juice, and chicken in a large zip-top plastic bag. Seal and marinate in refrigerator 2 hours, turning bag occasionally.
Preheat oven to 350°.
Remove chicken from bag, reserving 2 tablespoons marinade. Pat chicken dry with paper towels. Lightly spoon flours into dry measuring cups; level with a knife. Combine flours, paprika, salt, and pepper in a shallow dish. Dredge chicken in flour mixture. Heat 1 1/2 teaspoons oil in a large nonstick skillet coated with cooking spray over medium-high heat. Add 3 chicken breast halves; cook 2 minutes on each side or until lightly browned. Place chicken in a 13 x 9-inch baking dish coated with cooking spray. Repeat procedure with remaining 1 1/2 teaspoons oil and chicken.
Combine lime rind and brown sugar; sprinkle over chicken. Combine reserved marinade and broth; drizzle around chicken. Top each chicken breast half with 2 orange slices. Bake at 350° for 25 minutes or until chicken is done. Place chicken on a serving platter. Strain any remaining liquid in dish through a fine mesh sieve over a bowl. Discard solids. Spoon sauce over chicken.