Prepare the Corned Beef - Trim most of the visible fat off of the corned beef, leaving about a 1/8 inch layer on top, or remove completely. Place it in a 6-quart slow cooker, fat side up. Sprinkle with pickling spice.
Add the Vegetables - Add the celery, carrots, onion, potatoes, garlic, and bay leaves along the sides and remaining on top. Add beef broth to the pot.
Slow Cook - Cover and cook until the corned beef and vegetables are tender, 4 to 5 hours on high or 8 to 9 hours on low setting.
Add the Cabbage - Arrange cabbage on top of the corned beef, cover, and continue to cook until cabbage is tender, 30 to 60 minutes on high.
Make the Mustard Sauce - In a small bowl, mix together mustard, beer, and honey. Cover and refrigerate.
Check for Doneness - The meat is done when a fork can easily pierce into the meat, and the internal temperature reaches at least 160ºF (71ºC). Remove the beef from the pot, and trim off any excess fat if desired. Transfer to a foil-lined baking sheet.
Glaze with Sauce - Spread a thin layer of mustard sauce on top of the corned beef. Optional: For a browned crust, broil in the oven about 6 inches away from the top heating element, until the mustard is lightly browned, about 5 to 8 minutes.
To Serve - Slice corned beef against the grain and serve with vegetables and extra mustard sauce.
Notes
Alcohol Alternative: Substitute apple juice for Guinness beer.
Storing: Refrigerate in an airtight container for up to 5 days.
Reheating: Cover and microwave on high setting in 30-second increments until hot.