I think in What Kate Did, if she went where the horse came from, that means north, then she would of headed to the flame with Sawyer and encountered Mikhail earlier without Mrs Klugh there. Which could be make some difference, and possibly Kate(expect Sawyer, who looked badly injured) would had a less chance of survival. If she fought off both of them. If she did somehow, and looked at the computer, then she'll get Saiyd and he'll figure it out quickly.