In a small bowl, whisk the honey, mustard, and soy sauce until smooth. Thread the salmon cubes and chili peppers onto the soaked skewers. Season lightly with salt and pepper.
Heat a grill pan or heavy-bottomed skillet over medium-high heat and brush lightly with oil. Sear the skewers for about 1½ minutes per side, brushing continuously with the glaze as they cook. The salmon should be just cooked through and slightly caramelized.
In a small mixing bowl, mash the avocado until smooth. Stir in the teriyaki sauce, mayonnaise, black pepper, salt, sesame oil, olive oil, lemon juice, and garlic. Mix until the texture is creamy and cohesive.
In another bowl, combine the red onion, basil, salt, olive oil, sesame oil, and lemon juice. Toss until the onion is well-coated and slightly softened.
Cut off the top third of each pita to create a pocket. Spread a generous spoonful of avocado sauce inside. Layer in the salmon skewers and chili peppers, followed by a spoonful of red onion-basil salad, and a second spoonful of avocado sauce. Enjoy!