HAM AND EGG UNFRIED RICE

Name: HAM AND EGG UNFRIED RICE
Ingredients: 1 1/4 cups chopped onion; 2 1/4 cups water; 1 1/2 tablespoons low sodium soy sauce; 1 1/2 tablespoons sesame oil; 3/4 teaspoon ginger powder; 1 1/4 teaspoons garlic powder; 1 1/4 teaspoons onion powder; 1 rounded teaspoon salt; 1/4 teaspoon black pepper; 1 1/2 cups uncooked rice; 2 cups (about 10 oz) cooked ham, cut to 1/2 thickness and diced; 1/2 cup chopped scallion, greens only; 1/2 rounded cup frozen corn; 1/2 rounded cup frozen peas; For the eggs (optional):; 1 tablespoon vegetable oil; 4 eggs; 3 tablespoons water; 1 pinch of salt and pepper