Add dough ingredients to bread machine pan in the order suggested by manufacturer. Select dough/manual cycle.
When cycle is complete, remove dough from machine. Divide dough into 4 equal pieces; roll each to 24-inch rope. Divide each rope into 1 (13-inch), 1 (6-inch), 2 (2-inch), and 1 (1-inch) strips. Coil 13-inch strip to make body; coil 6-inch strip to make head. Attach head to body; pinch to seal. Shape 2 (2-inch) strips into ears and remaining 1-inch strip into tail. Attach to body and head. Place on greased baking sheet. Cover; let rise in warm, draft- free place until doubled in size, about 45 minutes.
Bake at 375°F for 15 to 20 minutes or until done. Remove from sheet; cool on wire rack.
Combine glaze ingredients and brush over bunnies. Insert date pieces for eyes.