Heat the oven to 425 degrees F and line a large sheet pan with parchment.
Blend all the jerk paste ingredients until mostly smooth, about 1 minute.
Pat the chicken dry. Rub the paste all over and under the skin. Let it sit for 15 minutes, or cover and chill overnight.
Toss the cabbage wedges with the avocado oil and salt and arrange them around the edges of the pan. Set the chicken in the middle, skin side up.
Roast for 35 to 40 minutes, until the skin is crisp, the cabbage is charred at the edges and the chicken reaches at least 165 degrees F.
Spoon the pan juices over the cabbage and serve with lime wedges.