Preheat the oven to 385°. Boil two cups of water in a small sauce pan. Once the water is boiling, add the rice, bring to a boil then cover and reduce heat to lowest possible setting.
Place an oven-safe skillet on a stove top burner and turn heat up to medium-high. While the pan and oven heat up-- Add and mix all of your spices (and cilantro) for the chicken in a small bowl. Rub 1-tsp olive oil on all sides of both chicken breasts then rub your spice mix on all sides of the chicken until covered.
Add 1 tsp olive oil to the now hot skillet and add both chicken breasts. Cook until both sides are browned (close to blackened) to your liking (note, the chicken won't be cooked all the way through, it'll finish cooking in the oven). Once the chicken is browned/blackened on all sides, squeeze fresh lime juice over both pieces of chicken and place skillet into the oven for 8-10 minutes until the chicken is cooked through.
While the chicken cooks, peel and dice all the ingredients for the pineapple mango salsa. Add everything into a mixing bowl and set aside.
The rice should be just about done now. Remove cover, add chopped cilantro and mix thoroughly.
Remove chicken from the oven and let it rest for a few minutes. Then slice it into strips.