These sort of things are awesome, but always make me lament the loss of the Library of Alexandria. How much more would we know about the world, and what could we be doing now if humanity still had access to that knowledge?
Well, what's gone is gone. Luckily, we have the technology today to ensure the survival and propagation of all of humanity's collective knowledge now. While it was a big loss, I don't think, in the long run, humanity has been set back permanently due to that event.
This is a myth. There were many, many other excellent libraries around the world when the Library of Alexandria was burned down. It contained few if any unique works, and even those that may have been unique wouldn't have held details of unrecoverable technology. It was a great loss from a cultural knowledge standpoint, but it's not as if the sum of human knowledge literally went up in smoke. It's more akin to what ISIS is doing right now.
Well, these "[stranded Athenian] soldiers" were relatives and friends of the crowd.
The crowd and the soldiers in the Athenian democracy were part of the same population of around a 30-50.000 people -- the Athenian citizens (although in some battles slaves also fought, including in this one, the crowd wound't be that tough on the generals if those were perished).
The title says they found a lost island, but what they really mean is, they found archeological remains under the ground of an already known island, right?
Yes and no. They believe the peninsula where they may have found the city of Kane used to be a separate island. They think there used to be a channel that filled in over time, converting the island into a peninsula.