Prepare and combine all vegetables and cooked rice in a large bowl.
In a small bowl, combine olive oil, lime juice, mustard, sugar, ground cumin, salt and pepper.
Gently stir this dressing into mixture in large bowl.
In a skillet or on a griddle on medium heat, saute the contents of the bowl ~4 minutes; set aside.
Warm both sides of each tortilla on the same griddle or in the same skillet; set aside.
Again on the same griddle or in the same skillet, fry scrambled eggs just before assembling burritos.
Spoon a portion of vegetable/rice mixture on each burrito, followed by a portion of the eggs.
Fold each tortilla as diagrammed below; serve immediately.