There is only one pub in Cooloongup, The Nag's Head, which has had a change of name and menu (not sure if same owners?) and is now called Hank's Bar & Bistro. A pdf copy of their menu can be found here https://hanksbarandbistro.com.au/Menu.pdf
I've always enjoyed going with family or friends and found the atmosphere to be very relaxed and enjoyable. Both the food and service was really good. Has an outside drinking area at the front and sportsman bar and restaurant.