Ben - if you have the box checked for auto save, then yes it will auto save. If you save it by the date, then it will be easy to see, otherwise it's going to be somewhat difficult if you save it differently - case in point - I run a 19 week session, and my tournaments are saved by the week in the folder for the session. As such, I cannot automatically see by the tournament title of when it was held. But it's going to be in the saves folder by default -> C:\Users\Mike\Documents\The Tournament Director 2\Data\saves <- In there, though, you'd obviously need to replace my name (mike) with your user name (Would assume it to be "ben")
Hope this helps!