Fourth one: got some street signs along some Italian shore so I looked up one of the streets.
Palermo, 3 meters; 6479 points.
Your guess was 0.362 km from the correct location and gave 6449 points
That was my first try. I think I’d better not sign up. I could waste a lot of time there. 
No cheating, 4.23 kilometers. Midway Island. I probably could have zoomed the map in closer and got closer.
I tried playing this setting out some rules to myself, with no moving–just looking around a making a guess based solely on the exact location Geoguessr has given me. So far, I’m doing a lot better than I thought I would, usually getting about 2000 points per guess. (Last round I finished with 10343 using my rules. The one I royally screwed up was one in Alaska and I guessed northern Michigan.)