Out of all the Wireless Guitars, there is only one Official one that works with GH3. It came with GH3, and the included instructions should tell you about this. This one is sold with a PlayStation2 port dongle. Press the button on the dongle and then press the sync button on the Guitar. They should be linked.
For two players, you must sync one guitar before doing the next.
The Guitar Hero Mic for Wii is more of a controller itself. You need to sync it with your Wii as if it was a controller.
There is a Guitar Hero for Wii, but it isn't exclusive to Wii.
No, not for Guitar Hero (Wii) nor Rock Band (Wii).
Yes, It should.
It depends. There are lots of Guitar Hero Wii games
yes it will for both
The Guitar Hero guitar will work RockBand for the Wii, but may not work for Beatles: Rock Band.
yes but not on wii
If it's the guitar FOR the wii, then yes
No, you need a Guitar Hero guitar.
Guitar Hero 3 and newer, yes.
Yes it will work Band Hero is the same brand of Guitar Hero.