Yes you can backup your information/saved data.
1)Buy an SD card.
2)Import all your saved games and mii's onto it.
3) Remove any games and the SD card
4) call and send the Wii to Nintnedo
5) Wait for your new functional wii.
6) Enjoy Your new wii
PS: You will not lose any VC games. You can redownload them for free.