Combine the marinade ingredients and the chicken breasts in a large freezer baggie. Refrigerate overnight, or for at least 4 hours.
Preheat your grill to 350°F. Remove the chicken from the marinade and grill for 15 minutes. Flip, and continue grilling until the internal temperature reaches 165°F.
Remove from the grill and let rest.
While the chicken is cooking, prep the rest of the filling ingredients and prepare the dressing by combining all the dressing ingredients together and shaking until emulsified.
Heat your pita pockets so they are soft and pliable.
Dice your chicken into bite-sized chunks and toss with the rest of the salad ingredients. Give the mixture a generous dose of the dressing and stuff into the pita pockets. Serve immediately.