Hastings has a lovely old town area right by the sea. Not sure if I'd want to go there when it's cold and some places may be shut for now, but later in the year I think it's rather lovely and quaint, as well as very interesting historically.
Have never tried the newer area as it always looked just like another seaside town with cheap attractions. But the old town is well worth a visit IMHO.
They have the traditional Jack in the Green celebrations every year when loads of different groups, Morris, pagan etc all join in - not sure if you'll find anywhere to stay in the immediate area then if you're not already booked in - but again, great fun and if you can choose your days, worth the trip.
https://www.google.co.uk/#q=hastings+jack+in+the+green+2015
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My body is an old warehouse full of declining storage, my mind is a dusty old reference library, strictly for members and archaeologists only