I can't see for sure if Jim is playing a Jag or Jazzmaster the pic is to small. I have seen The Break a lot and he plays a Jazzmaster 99% of the time, as does Martin.  Jim does or did own a Jaguar though. I know that for sure I have seen him with it numerous times including one of his video clips. Now if you can show me a pic of him playing a Strat that would be a something as I understand it he doesn't like Strat's.