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With that list and the fact that you will have a car I would sugest to go to Arundal castle, be there the moment it opens, so you have a fair time. Old and big castle, worth visiting.
Not all of it is old, but enough to make it worth your time.
If you are an early riser, you can visit the sea before the castle.
And for a park, try the Weald and Dowland Open Air museum (if open at the time of year you are there.) Not too big, not too far and very nice to visit, even when you have less time. Good historic buildings in a vilage set-up.
The Weald and Downland Open Air Museum
by Anguskirk under CC BY-NC-ND 2.0 licence (creativecommons.org/licenses/by-nc-nd/2.0/) via flic.kr/p/dhVVnL
If you want a certain kind of village to visit, you can use an images search or use a map site where you can also see the streets as if you are walking there. Street view or whatever it is called in other sites and you get a fair idea of what a village looks like.
The maps will likely give you several options near your location as well as several you will pass through on your way to and from your chosen attractions.
Having played around a bit with street view, I would suggest Storrington, the area around the White Horse, google maps gives North Street for the address.
The White Horse, Storrington
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Storrington is on the A283, going west from Wiston just beyond Washington where you might want to stop just for the name.