If you're having problems with your JiTouch 2 after installing OS X Mavericks, then rest assured you aren't the only one.
As far as I can see, OS X Mavericks isn't supported. There's a statement on their ste saying as much:
They also have a support page with a contact form. So if you're interested in chasing up a date for when they will roll our compatibility with Mavericks, then you can contact them here."We're working on Mac OSX 10.9 Maverick support!"
If they reply to you, please be sure to update us here too please :)