Prepare the vegetables and bacon. Mix well in a bowl, and set aside.
In another bowl, whisk the eggs well. Add the sugar, oil, salt and pepper. Set aside.
Heat the first two teaspoons of oil in a deep saucepan, and add the vegetables. Cook for 5-10 minutes (until the vegetables are tender). Add the rice, and stir well.
Add the tomato paste, and stir well. Cook for 2 minutes. Remove from heat.
The next step has a long explanation, but it is not hard. It needs to be repeated for each of the four servings, and takes about 3 minutes each time. The series of photos will give you a good idea of part of the process.
Put one teaspoon of additional oil in a large, heated, non-stick frying pan. Use a brush to spread the oil around the base of the pan. Pour in 1/4 of the egg mixture, and tilt the pan to coat the base. Cook for about 2 minutes. Scrape the egg away from the edges of the pan. Add 1/4 of the rice mixture to one side of the cooked egg. Flip the other side of the egg over the rice mixture. Invert a plate over the pan. Pick the pan up and turn it over, and your omelette is on the plate. Garnish with the tomato ketchup.