Rub pork with brown sugar, smoked paprika, garlic powder, salt, and pepper. Place in slow cooker with broth; cook on low 8 hours or high 4–5 until very tender.
Shred pork with forks, stir in 1 cup BBQ sauce, and refrigerate in airtight container for up to 3 days.
Mix coleslaw: combine mayo, vinegar, mustard, honey, and salt; toss with coleslaw mix just before serving.
Reheat pulled pork in a saucepan with a splash of broth or in a slow cooker on warm. Pile on slider buns, top with coleslaw, and serve extra BBQ sauce.