If You use Xlink kai or Xbconnect then yes.
I do believe Minecraft for Xbox 369 is in 'alpha' and only has online and offline multiplayer.
I think so.
The PC, PS3 and Xbox 360 versions of the game all have online multiplayer. see related link
Yes evry game online does
System Link
No, both xbox's will requre a copy of the game in order for it to work.
Yes, all you need to do is install the game on an xbox.
If you are asking about setting up a game and playing head to head or co-op via system link, yes. Xbox live is not needed for that. The game will be hosted and played on the linked consoles. If you want to play other players on xbox live, you need to have xbox live. Linking your systems together will not allow you to bypass that.
You can only be the infected by playing XBOX LIVE or online. I am not sure about system link or LAN Network.
If it's the same console, then yes. If it's online or system link, then no.
Connect two xbox's together through a single LAN cable or more than 2 by connecting them to a router. Then just use the system link option in the game,.
No... you can't.