Hi Hilary. Yes you can back up your details to your phone from pc. I have a nokia n95 and i use Windows Media Player to copy music, pics etc rather than the nokia pc suite, as its better,
If you would rather do this than pc suite, when you plug in your usb cable, select media player rather than pc suite or mass storage and synchronise with windows media player.
If you dont have wmp, then download for free at www.download.com