Place ingredients in a greased 3 ½ - 5 quart slow cooker. Cover and cook on low heat 8-10 hours. Shred pork with a fork or potato masher before serving. Use meat in salads, burritos, or tacos.
In a saucepan combine rice, butter, garlic, lime zest, chicken broth and water. Bring to a boil. Cover and cook 15-20 minutes, or until rice is tender. Remove from heat. In a small bowl, combine lime juice, sugar, and cilantro. Pour over hot cooked rice. Serve warm.
Creamy Tomatillo Salad Dressing
Combine all ingredients in a blender. Blend until smooth. Pour over pork and rice in a salad, or use as a dip for tortilla chips. Store in refrigerator up to 1 week.