Place chicken in glass baking dish. Combine all remaining ingredients and pour over chicken; turn to coat. Cover and chill at least 3 hours or overnight, turning occasionally. SALSA: Combine all ingredients in medium bowl. Prepare barbecue (medium-high setting) or preheat broiler. Season chicken with salt and pepper. Grill until cooked through, 8 minutes per side. Add avocado to salsa. Season to taste with salt and pepper. Serve chicken and salsa with hot tortillas.