Very Good News
My iPod's fixed! Yay! :–)
Thanks to all who suggested what it could be/how to solve it. In the end I was so amazed that it was working (and feeling a bit of a fool because the bloke had to install some software on it) I completely forgot to ask what was wrong. But that doesn't matter, because in this instance Apple's customer service was amazing. I showed up for my appointment at the Apple store and explained what was wrong to the guy. He then took the iPod, disappeared for 5 minutes and came back with it working! And when I asked how much the repair cost, he replied, "Nothing. It's still under warranty." All of which made me very happy :) And between that and the cool stuff on display in the store, I'm now very tempted to get a Mac as my next computer, so well done Apple!
Pretty good weekend all round, really :–)