Actually, YES. Just go to gamecopywiz.tk No more Modding or Flashing!
No.
no u cannot
You don't need live to save games to the hard drive the game will simply ask you to create a new games save and off you go. If you have a memory card too the game will give you a choice of which device to save your game on.
Clear the cache.
yes it can
Yes.
Nope, Xbox360 games bought in the US will not work on an EU system.
Yes
A Xbox360 is a console, the second after the first Xbox. You play Xbox360 games on it and I think you can download or buy a thing so you can play your Xbox games on it to.
yes you can but only if you have a hard drive
If you have a hard drive, Yes. Otherwise you cannot play original Xbox games. without a hard drive.
In general, no. You need the game disk to play an Xbox360 game. Of course there are games you can buy through the online marketplace, and some of those are the same games you can buy on disk. Obviously for marketplace games, you won't need a disk. The Xbox360 does have an "Install Game" option once you've inserted the disk. However, you'll still need the disk to play. Once installed, the game is able to load some features faster, but it does not eliminate the need for the disk. The other topic to bring up is console modification. Through a risky not-for-beginners modification process, it's possible to enable the Xbox360 console to play the games you backed-up to hard drive, without the disk. Be warned that modifying your Xbox will void your warranty, and may get you banned from Xbox Live.