First, prepare the Caramel Sauce - The traditional way: in a small saucepan, add the 1/3 cup sugar and 4 tablespoon water. Bring to boil then reduce the heat to medium until simmering. Do not use any utensil to stir, just swirl the pan to blend the water and sugar. The mixture will turn from clear to golden to dark, but you need to watch closely as it may burn easily. You may have to lower the heat if needed. As soon as it gets dark brown, turn off the heat, remove from stove and carefully add another 2 tablespoon of hot water. Swirl to combine and set aside.
If you have no patience to stand and watch for the water and sugar to caramelize as above instruction, the short cut is to combine the palm sugar and water in a microwave-safe bowl and heat for 2 minutes, stir to blend and set aside.
Now prepare the marinade. Combine the 1/4 cup minced shallots, minced garlic, fish sauce, black pepper, baking powder and the caramel sauce in a bowl.Use half to marinate the minced meat in a bowl and half to marinate the thinly sliced pork in another bowl. Mix well. With your slightly wet hands form flat meat patties (about 1-1/2 to 2" diameter). Cover both meat patties and sliced pork and refrigerate overnight or at least 1 hour. The day of the meal, cook the rice vermicelli according to package instructions.
Wash and dry the lettuce and herbs
Prepare the dipping sauce (nuoc cham) by mixing the lime juice, fish sauce, sugar, water and julienne carrot or sliced green papaya.
In a small saucepan, heat the 3 tbspn oil till very hot, add the reserved 1 tbspn minced shallots and fry till just golden. Turn off heat, the shallots will continue to cook till a darker gold. To use as shallot oil. You can save the fried shallots and remaining oil for another use.
Take the meat balls and sliced pork out of the refrigerator an hour before cooking. Add the honey and 1 tablespoon of the shallot oil to the sliced pork and mix well. With a brush, coat both sides of the meat patties with the shallot oil.
Cut a parchment paper to fit a frying pan. Put the parchment paper on the frying pan, brush with shallot oil, and heat the pan till very hot. Lay the sliced pork in single layer (fry in 2 batches if necessary), and cook till sizzling on one side, and turn over to the other side. The pork should caramelize beautifully. If using a BBQ instead of frying pan, for this step, put the sliced pork in single layer in a BBQ grill basket (brush the basket with shallot oil), and grill on the BBQ, and if the pork slices are thin, it should take 5 minutes on each side. Check for doneness
Brush the shallot oil on a Staub or cast iron grill. Heat till very hot. Add the meat patties in single layer. Grill for 4 minutes on each side, then flip over to the other side and grill for another 3 to 4 minutes. Depending on the thickness of the patties, you may have to grill for slightly longer (cut one meat patty to make sure that it's not pink inside). If using a BBQ instead of a cast iron grill, put the meat patties in single layer in a BBQ grill basked (brush the basket with shallot oil), and grill on the BBQ, it should take 4 minutes on each side. Check for doneness.
To serve, divide the meat and meat patties into 4 bowls, add the dipping sauce. Serve with the vermicelli and fresh lettuce and herbs. In our family, we put the meat patties in a bowl and add the dipping sauce, and serve the grilled pork on a separate dish.