Yes as the Sea Caves area is ajacent to the Coral bay area, i suppose you could say they are only one footstep away form each other!
However, if you were to walk from the Sea Caves to the Coral Bay strip, it is about 6km - much too far with your bag of shopping - or for some of us much too far to walk anyway!
The Bus service terminates in Coral Bay (Corallia Hotel); the service as far as Agios Georgious ended about 10 years ago, I think.
Pink, the villas on the sea front are quite distictive; what does Mr Thornton's look like?