Rinse chicken, pat dry, and set aside. In a small bowl, mix together salt, black pepper, paprika, and onion powder.
Drizzle 1 teaspoon of olive oil onto the drumsticks and use your hand to coat all the pieces. Sprinkle spice mixture on the drumsticks and gently press onto the skin.
Heat a large Dutch oven (or heavy oven-proof skillet with an oven-proof lid) to medium heat. Add 2 teaspoons of olive oil to the pan. Brown the chicken for two minutes on either side. You might have to cook this in batches.
While chicken is searing, whisk together the ingredients for the sauce in a bowl and set aside.
Once the chicken has finished searing, pour the sauce over the chicken and gently toss the drumsticks in it to coat. Cover pan and transfer to the oven.
Bake for 20 minutes, rotate chicken pieces, and baste with sauce. Bake an additional 20 minutes then remove chicken from the oven and place the drumsticks on a plate, tenting a piece of foil on top to keep warm.
Bring the remaining sauce in the pan to a boil on the stove top and simmer, uncovered, for 4-5 minutes until it is thick and glazy. Return the chicken to the pan and gently toss in the glaze.