In a large bowl, whisk together the marinade ingredients. Add chicken (1 1/2 pounds) and toss to coat. Cover the bowl with plastic wrap and place in the fridge for at least 30 minutes, or up to overnight.
You'll want to soak your skewers in water for a minimum of 20 minutes before threading your meat and veggies on.
Preheat the oven to 425 F, and prep the top rack so it's 6 inches away from the broiler. Thread 1 piece of chicken onto a skewer, followed by the veggies, alternating from meat to veggie as often as you like. Place chicken kabobs on a rimmed baking sheet (if you want easy clean-up, line your baking sheet with aluminum foil, not parchment paper).
Bake in preheated oven for 15-20 minutes, you'll know your chicken is done once the internal temp reaches 165 F. Optional (for a little char): set your oven broiler to high, and keep kabobs in there until they're lightly charred on the top--should be 1-2 minutes. Enjoy!