Cover the chicken, first in lime juice and zest, and then with the spices. Be sure to turn them and cover both sides. You can marinate them for about 20 minutes if you like, but it's not necessary.
Place the chicken on the barbecue and grill until the internal temperature reaches 165-170 degrees F.
If you are barbecuing any veggies, put those on the grill as well.
You can warm your tortillas on the BBQ if you like, but I find they get too hard to wrap as a burrito. So I wrap mine in some damp paper towels and microwave for 1-2 minutes. This gets them warm and pliable.
Assemble your burritos and serve.
Notes
Please note that the nutrition data is a ballpark figure. Exact data is not possible. Data is only for the ingredients that have measurements. Burrito fixings are not included in this data.