The French womans message is up to iteration number 17294531 when they first pick it up which means the loop has been running for approximately 16 years and 5 months.
If Sawyer found the gun and badge on the Marshall, is it possible he could of found something that would have told him that Kate was the fugitive being transported.
Presumably the polar bear that Sawyer shoots is one of the bears that were held in the Dharma cages seen in season 3.
Locke asks Walt if he wants to know a secret, we don’t hear what this secret is but my guess is that he told Walt about how he was paralyzed before the plane crash.
After the crash how did the flight attendant (Cindy), who was at the front of the plane with Charlie, end up with the ‘Tailies’?