David Marshall, a Nintendo customer service representative, has announced that a “unified account system will be implemented later this year with the launch of the Wii U,” and the “same account system will be made compatible with Nintendo 3DS systems.” Marshall also revealed that if your Wii U or 3DS is stolen, Nintendo can transfer your account to a new system.
No, the architecture is different, the gamecube would need to be emulated. Which simply won't work. Not with that limited power.
All vc games on the Wii came with their own emulator. That is why a game which should only take a few kb jumps up a few. ( and the HTML included help files )
Plus, it was a great gaming experience.
The VC games are actually emulated, which is a much more intense process, so there is a very real possibility that GCN games might be a bit too much for the 3DS