https://www.winchelsea.com/cellar-tours/tours/As for Winchelsea. If you're strolling around there then have a look to see if any of the cellar doors are open on some of the houses to have a look around. I think they may only open on certain days though. I haven't yet wandered down them myself.
Also, if you park the car in Monk's Walk, then go away from the church and over the main road, just a quick hop across one field brings you to the Beacon and the old Windmill. There you'll get stunning views of Brede Valley, with the added bonus of some Popular tress and vineyards in the near distance giving you the impression you're in Tuscany Might be a nice spot to watch the sunset from before you head home?
Edit: Just seen the weather forecast. Scrub that sunset suggestion