Yes they do!

 

Hey who's was it you know?

 

oh

 

On the island no idea.
The only logs are people are now using the starter chest as a trade chest xD

 

That is funny. Is the island in WorldEdit's world lock thingy, or could someone grief it?

 

The whole thing is protected, even if the player wanted to do anything they couldn't, they have an island they can't even build in.

 

Ok, good.