Also, where you buy your produce makes a bigger difference, in terms of mold and going bad, than whether it's organic or not. We've sadly had much better luck when we spend oodles of money at Whole Foods than when we buy the organic produce at Safeway. The sole exception to that would be the tomatoes at Whole Foods.
If your jam had a layer of mold on it, it was because it was improperly canned, not because it was organic.