Thanks. I thought one of them may be corrupt (which would account for the saves not loading or the continue button not working), but that doesn't seem to be the case as I was able to get all of the saves to load without any problems (though I didn't try any of the auto saves). What you could try is deleting all of the saves (including your auto saves) with exception to your primary save, then go back into the game and rerun it and see if there is an issue with using the load or continue button.
Generally if there is a corrupt save, you wouldn't be able to use the continue or the load button as clicking on either of them would do nothing unless you looked at each save individually to find the culprit. But as I mentioned, that's not the case here. As to what the cause is, I'm not certain since I see no issues on my end. And your log wouldn't show anything unless there was a crash while the game was running.