Cook the rice and let rest until ready to serve. In a large gallon ziploc bag place all of the marinade ingredients together, seal the top shut and then shake the marinade around until combined. Add the six chicken breasts to the bag and keep in the fridge until ready to grill (the longer you let the chicken marinade the better--2 to 8 hours). Don't marinade overnight or the acid will break down the chicken too much. When ready to grill the chicken, remove the chicken and place on a hot grill, reserving the marinade! While the chicken is cooking on the grill, pour the marinade into a saucepan. Add 1 Tbls. cornstarch and a 1/2 cup of white sugar and bring to a boil for 5 minutes, or until marinade sauce becomes thick. Once chicken has been cooked on both sides (about 6-8 minutes per side), and the center is no longer pink, remove from the grill and let rest while you prepare the salsa. Once the salsa is chopped and ready, serve the chicken over the white rice, top with the salsa and drizzle with the marinade/sauce for extra flavor.
For the salsa: Place all of the diced ingredients into a bowl. Drizzle with juice of a lime and season with a little salt. Set salsa aside until ready to serve.