I would recommend you come to the Blue Lagoon directly from the airport if your flight arrives at 7,8,9 in the morning. Hotel Check-in is not until 3pm and this place will relax your mind a body from the over night flight.
This rock is known as "The Anvil" and the island from which is juts out is known as being a thriving artists colony, although that's somewhat unofficial. It's pretty easy to see why artists would choose this spot to make their homes.
This small town in northern Ireland (far, far north btw) is appealing to me due to its artistic propensity and unusual tradition of electing a king via consensus. The intention is that the king "speaks" for the town and also welcomes visitors and newcomers.
It takes about an hour and a half to complete the tour here--make sure to bring a sweater as temps really drop when you reach the bottom. This, too is a UNESCO World Heritage site.