For the chicken, combine the hot sauce, Worcestershire sauce, mustard, grated red onion, garlic and EVOO in a reasealable plastic bag. Season the chicken with poultry seasoning or salt and pepper, add to the plastic bag and marinate for 1 to several hours.
For the potato salad, place the potatoes in a pot, cover with water, bring to a boil, add salt and potatoes and cook to tender. Drain the potatoes and place them back in the hot pot to dry. Transfer to a baking sheet to quick-cool, breaking them up with a wooden spoon into a chunky mash.
Meanwhile, mash the egg yolks well with a fork. Add the hot sauce, mustard, relish, Worcestershire sauce, grated onion, paprika, garlic, salt and pepper and stir to combine well. Add the mayo and stir; add the warm potatoes and combine. Adjust the salt and pepper, to taste; garnish with finely chopped parsley, chili peppers and sliced sweet pickles. Slice the remaining whole hard boiled eggs into wedges and arrange on top of the salad.
Heat a grill pan or outdoor grill to medium-high heat and cook the chicken for 12-15 minutes, until cooked through.
Serve the chicken with egg and potato salad alongside.