I've recently downloaded the quester plugin (Version: 0.6.3.6) and I have set up some quests. When my players try and start a quest they receive "You don't have permission for this". I've added the permission node "quester.use.*" to the player group but still have no luck. Is there something I've done wrong?

No, Quester 0.6 is not working too well with GroupManager, (I assume you use it) and it's likely that you just need to write each individual permission for it to work. If the problem persists, and you are reluctant to use up-to-date quester version from here, let me know. 0.7 dev builds are official builds for 1.7/1.8.

I'm assuming the individual permission are "quester.use.(Command)" e.g. quester.use.start. If they are they aren't working. I'm still getting the same response as before.

Try using newest version then. (0.7) If all else fails, try different permission plugin.