OK, this is now all getting VERY VERY silly indeed.
After my previous post and in particular item 1. of the '2 other things', I found I could not access anything on the iPod at all:
3 times I tried, using the 'new' 30 pin/USB lead into 3 different USB sockets and every time, first of all Windows said there was a problem with the drive, so I followed the Windows scan and repair links, and every time it did so and every time it said it had fixed it, the drive was now OK, 'no errors were found'. And still evey time, iTunes could not read the iPod at all, and said Eject of Repair (which is the wipe all the contents and reinstall software option).
So I just ejected the iPod via iTunes, waited till the iPod said OK to disconnect, disconnected and.............the iPod says there is no music on there - but 45GB of memory are being used.
So I thought, time to reboot the PC, and turn off completely the iPod, and see if that makes any difference. Whilst rebooting I removed the USB cable from the PC attached to the external hard drive (which was not switched on and has not been on for the last 3 days), but NOT the wireless internet receiver.
Opened iTunes, connected the iPod via the USB socket that the external hard drive had ben conncted to (after all, I knew that that USB socket had worked fine the last time I used that hard drive) - still zilch, still an error via Windows, still bnreadable by iTunes. Eject and disconnect properly. I know, I thought, let's try the 'old' (previous) 30 pin/USB cable and attach it to that hard drive USB socket.
And guess what - it worked. No Windows problem, iTiunes recognised the iPod, all the music seemed to be there. With heart in mouth, eject iPod via iTunes, wait for OK to disconnect, get back to main iPod menu on stand alone....... and, thankfully, all the music seems to be there.
So now, I am leaving well alone until I have used it for my essential matter this afternoon.
Conclusion? - it is a total lottery as to whether the iPod works properly with my Windows 10 or not. There is no rhyme or reason as to when it works or when it does not, which cable works, which USB socket works. The only technical thing I can see is that I do not appear to have an Apple Mobile Device USB Driver installed (see my original question post). Do I need this? Would that make the USB sockets work better with the iPOd? If so, how do I get it?
Otherwise, I suspect that the Ipod is just goosed (i.e. knackered) and I need to either get it repaired (probaly very expensive because Apple no longer regard these as current products?) or replaced?
Next steps please?