For the chicken: Place the chicken breasts and thighs in a pot with the bay leaves, carrot, onion, orange and some salt. Cover with water, then cover the pot and bring to a boil. Reduce the heat and cook at a low rolling boil for 20 minutes. Remove the chicken to a cutting board. Strain the poaching liquid, then return to the pot and boil for a few minutes to reduce it slightly. Remove the skin and bones from the chicken and shred the meat.
For the BBQ sauce: Meanwhile, combine the ketchup, mustard, brown sugar, maple syrup, vinegar, Worcestershire sauce, pepper, bourbon, garlic and orange juice in a small pot. Simmer over medium-low heat, stirring occasionally, about 20 minutes.
For the slaw: Whisk together the oil, vinegar, sugar, salt, lemon juice and onions. Season with salt and some pepper. Add the cabbage and apples and toss to combine.
Add 1 cup poaching liquid to the BBQ sauce, then add the chicken, stirring and shredding it with 2 forks. Pile the chicken on the rolls and top with pickles and slaw.