Preheat oven to 350°.
Lightly spoon flour into dry measuring cups; level with a knife. Combine flour, baking soda, and salt, stirring with a whisk.
Place granulated sugar and butter in a large bowl; beat with a mixer at medium speed until well blended. Add eggs, 1 at a time, beating well after each addition. Add banana, yogurt, rum, and vanilla; beat until blended. Add flour mixture; beat at low speed just until moist. Stir in 1/2 cup coconut. Spoon batter into a 9 x 5-inch loaf pan coated with cooking spray; sprinkle with 1 tablespoon coconut. Bake at 350° for 1 hour or until a wooden pick inserted in center comes out clean. Cool in pan 10 minutes on a wire rack; remove from pan. Combine powdered sugar and juice, stirring with a whisk; drizzle over warm bread. Cool completely on wire rack.