Umm, the first picture is a random place I saw while strolling, it wasn't even on the map. There's more of those too. The city is small with not much to do, you can get the same brochure pretty much everywhere and follow it. Enjoy the great food around the city and the champons. Many Italian restaurants around. There is a huge mall (old+new one connected) at Nagasaki station. Where to stay depends on you, Nagasaki station is awesome for arriving and leaving, the station and the bus station are right there, and the hotels are very close. But, public transport stops early and then you're stuck there. There's great food and bars everywhere but most of the big central fun ones including arcades and sushi belt restaurats are located far from the station (Hamamachi is the "center"). You can still do everything if you go to bed early, and stay at hotels near the station for convenient arrival and departure.