Yes
XBOX Live is not a game console. It's a online game service for the XBOX 360.
XBOX Live is not its own game system. XBOX Live is an online gaming and content delivery service that the XBOX 360 game system uses.
No... they can not all be played on xbox live
There is no "The Xbox Live", Xbox live is simply a pay-to-play game service where you can play Xbox 360 games online. It depends on the game if you can play it online or not, the game's box should on the back say if it can be played online.
No that is why it is called a PSP game and not a Xbox 360 game
If it is an XBOX 360 game then it will work on any XBOX 360 console.
All the xbox back catalogue should play on the 360, however you may need an update over xbox live to get some to work.
it is a xbox 360 live card that allows you to dowload full games onto your xbox 360.
Yes, you can play Halo 2 online on the Xbox 360 using Xbox Live.
Yes, there are several xbox games that can be played on the xbox 360 and several more if you login to xbox live and download the updates for your xbox 360.
In order to play a game that you have downloaded and burned to disc on an xbox 360 you have to mod your xbox. If you mod your xbox and log on to xbox live you will be banned.