In a large bowl, combine the black-eyed peas, corn, tomatoes, red, green, and jalapeno peppers, onion, and pimentos.
In a glass jar with a tight-fitting lid, combine the wine and balsamic vinegars, salt, pepper, mustard, sugar, oregano, and olive and vegetable oils. Shake until the ingredients are blended.
Add the dressing to the pea mixture and stir gently but thoroughly. Cover and refrigerate until serving time.