Is "back-up" actually reversing light? If so is there a relay on it?
No relays, just an old fashioned switch in the gearbox. Fuse for this is in the under dash fusebox, F5 or F1, depending on early/late fusebox.
F8 (under bonnet fusebox) is described as 'back-up' in the Jazz handbook, it's a permanent live that feeds the radio, ECU, instruments, immobiliser, etc., etc..
Here's a bit of a tale though...
Just to confuse matters, if you have a Mr Haynes book, they appear to have mis-transcribed 'back-up', and F8 is listed as 'reversing lights' - as well as F1 in the under dash fusebox. There's actually a number of mistakes in the Haynes electrical diagrams, so only use them as a last resort.