Whisk together all the marinade ingredients into a large bowl. Add the chicken, turning to coat both sides of chicken. Cover the bowl with plastic wrap, and refrigerate for at least 1 hour.
When the chicken has about 15 minutes to go, preheat your grill. If you're using your oven's broiler or grill pan on the stove, you can wait to preheat until after you oil up your vegetables.
Brush grapeseed (or olive) oil generously over both sides of the cut up veggies. Generously salt and pepper both sides of the veggies as well.
Place the chicken on a plate, and discard the remaining marinade. Gently blot both sides of the chicken with a towel, then, generously season both sides with salt and pepper.
Grill the chicken and veggies until the chicken reaches an internal temperature of 165 degrees, and the veggies are cooked to your liking.
Either on a plate, or a bowl, serve up the chicken and veggies with some rice, feta cheese, kalamata olives, and parsley (all are optional). If you have lemon, squeeze some juice, over everything! Enjoy...