Add the goat cheese and 1 tablespoon of olive oil to the bowl of a mini food processor. Pulse together for about a minute or so until smooth. Transfer to a bowl and stir in a pinch of sea salt and the fresh dill. Refrigerate until needed.
Rinse the leek very well under running water and dry on paper towels. Cut the white part only and slice it into about rounds. You will need about 15 to 20 rounds to divide between the crackers.
Preheat a cast iron skillet on medium high flame. Add a lug of olive oil, just enough to coat the bottom of the skillet.
Carefully place each of the leek rounds on the hot skillet without touching each other. Sear until caramelized on both side. About 30 seconds or so on each side. Using a small spatula transfer them to a plate and sprinkle with a tiny pinch of sea salt.
Arrange the crackers on a serving plate or cheese board and top each one with a dollop of the whipped goat cheese. Place one of the caramelized leek rounds on top of the goat cheese and top with some of the roasted red peppers.
Garnish your goat cheese appetizers with fresh dill or edible flowers if available.