Marinate chicken for at least 3 hours. Remove from marinade and place on rack on baking pan. Bake at 350 until cooked through and dark meat juices run clear (about 165 degrees on a meat thermometer, per US FDA guideline). Do not overcook meat. Using a meat thermometer is the only way to ensure proper degree of doneness. Cool chicken until it can be handled, then cut into small cubes or shred. Set aside.
Combine rice and water in medium saucepan. Cook 18 to 20 minutes or until tender and water is absorbed. Set aside.
Heat a small non-stick skillet over medium heat. Add 1 TBS oil and heat until oil smokes slightly and ripples. Add beaten egg. Cook until set. Using a thin, flexible spatula, carefully flip the omelet. Cook briefly on the other side. Remove from pan, cool and cut into matchsticks. Set aside.
Combine soy sauce, hot Asian oil and sesame oil. Set aside.
Heat second TBS oil in wok or large skillet over medium heat. If using a wok, turn to coat sides with oil. Add garlic and saute for about 15 to 30 seconds. Add regular onion and saute about 3 minutes. Add green pepper and saute for about 3 minutes. Add rice, toss to mix with thoroughly vegetables. Saute about 1 to 2 minutes. Add green onion and saute about 1 minute. Add soy sauce mixture. Saute for about 1 to 2 minutes or until soy sauce is mostly absorbed. Turn off heat. Add egg matchsticks and cooked chicken. Toss gently to blend. Serve immediately.