In a large bowl mix the first 11 ingredients together, from garlic through salt and pepper. Add chicken breasts, tossing to completely coat each breast. Set aside.
In a 9x13 inch baking pan, place chicken covering the bottom of pan along with any spices left in bowl.
Add squash and carrots.
Bake in a 400 degree oven for 1 hour. Remove from heat and serve hot.