Place the pork shoulder in the slow cooker along with all remaining ingredients. Cook for 4 hours on high, or 7 hours on low heat, or until the pork shoulder is completely tender and easily shredded with a fork.
Shred the pork shoulder and combine with the liquids and seasonings.
Serve on hamburger buns.
Notes
The Dr Pepper BBQ sauce can be prepared separately on the stovetop if desired, then used as a condiment. To do so, simply add all ingredients, minus the pork shoulder, to a saucepan and simmer until thickened.