In a large skillet or wok, heat 2 tablespoons sesame oil. Saute the carrots and onion for 2 minutes. Add the bok choy, cabbage, garlic and ginger (if using) and saute for 2 minutes.
Push the vegetables to the side. Add 1 tablespoon more oil. Add the eggs and pinch of salt, and scramble them in for 1 to 2 minutes until cooked through.
Add the peas, rice, soy sauce, kosher salt, and fresh ground pepper. Stir in the remaining 1 tablespoon sesame oil. Heat for a minute or two, stirring, until all rice is coated. Taste and add more soy sauce if desired. Serve hot.