Lightly score both sides of the duck breast with a sharp knife. Place in a shallow dish or plastic bag. In a small bowl whisk together orange liqueur, orange juice, cornstarch, garlic, and salt. Pour over duck breast and marinate for 1 hour.
Place the garlic, scallions, celery, carrot, cilantro, and ginger in the food processor and pulse until finely chopped. Place in medium mixing bowl. Add Chinese hot oil, plum sauce, soy sauce, salt, and sesame seeds and set aside.
Coat the bottom of a medium skillet with 1 tablespoon of olive oil. Heat over medium heat until very hot. Remove the duck breast from the marinade. Add to the hot skillet along with 1 or 2 tablespoons of the marinade. Lower heat to medium, cover and cook for 20 minutes, turning often until cooked through and well glazed. Transfer to a cutting board and allow to cool slightly. Remove all but 1 tablespoon of the duck fat from the skillet. Mince the cooked duck breast and return it to the skillet adding a pinch of salt and 1/2 teaspoon orange liqueur. Cook over high heat until browned. Remove from heat and add to the reserved vegetable mixture. Add the orange zest and stir until well mixed.
Separate 24 pot sticker wrappers. To fill the pot stickers, place 1 heaping teaspoon of filling on each wrapper. Avoid getting any of the filling on the edges or the wrapper will not seal properly. Wet edges with water, fold wrapper in half to form a half moon shape. Seal the top center of the wrapper by pressing between the fingers. Make 2 pleats, working towards the bottom left corner. Repeat working towards the bottom right corner. Set aside. Repeat with remaining ingredients.
Heat 1 cup of olive oil in a deep frying pan. Add half of the pot stickers to the hot oil and cook until browned and crisp. Remove to a platter and keep hot until ready to serve. Repeat with the remaining pot stickers.
Mix together soy sauce and white vinegar to use as a dip for the warm pot stickers.
Preheat oven to 375 degrees F.
Slice the top off of the garlic head. Place in small baking dish or garlic roaster. Drizzle lightly with olive oil and sprinkle with the oregano. Season with salt and pepper, to taste. Cover tightly with foil and roast until garlic is golden brown, about 35 minutes. Allow to cool and then squeeze the softened cloves into a small bowl and set aside.