Combine first 5 ingredients in a medium bowl; stir with a whisk.
Steam asparagus and carrot, covered, 2 minutes or until crisp-tender. Rinse with cold water; drain.
Heat 1 teaspoon vegetable oil in a large nonstick skillet coated with cooking spray over medium-high heat. Add egg; cook 1 minute or until scrambled, stirring constantly. Remove egg from pan.
Heat 1 teaspoon oil in pan. Add rice; cook 3 minutes or until hot, stirring occasionally. Add asparagus, carrot, scrambled egg, peas, onions, and broth mixture; cook 2 minutes or until thoroughly heated.