Combine the onion, brown sugar, soy sauce, vinegar, thyme, oil, garlic, allspice and habanero pepper in the container of a food processor or blender. Process until smooth. Place the chicken into a large resealable bag, and pour in 3/4 of the sauce. Squeeze out excess air, and seal. Marinate in the refrigerator for at least one hour.

Preheat your oven's broiler.

Remove chicken from bag, and discard marinade. Broil chicken for 10 to 15 minutes, turning once to ensure even cooking. Heat remaining sauce in a small pan, and pour over chicken when serving.

Mix ingredients together in a bowl and serve.

If you want to prepare multiple servings in advance, you can shred the carrots and lettuce and slice the onion in advance and store them in the fridge in a ziploc bag or tupperware container so you just have to dice a little cucumber and tomato and add a little dressing the next time.