I don't understand your question. Which Xbox 360 you use has nothing to do about Xbox LIVE. The only thing that matters for Xbox LIVE is your internet connection.
No. (360)
Yes, you are not required to have or use an MSN account in order to use an Xbox 360, either offline or using Xbox LIVE.
You can use the xbox 360 still but the adapter or an Ethernet cable enables you to get xbox live and play online
Yes,Beacuase Its STILL xbox live
No, original Xbox controllers do not work with the Xbox 360, so any games you download from Xbox Live Marketplace will use the Xbox 360 controller.
yes I've got an arcade and xbox live works fine
You would have to recover your gamertag onto your xbox 360 console again.
No, you don't have to have an official xbox360 wireless adapter to connect to xbox live.you can connect to xbox live with any adapter. i know this because i used to use a linksys adapter but now i just have a 3 foot Ethernet cable now.
you can but it has hardware to it
there is nomore xbox live on old xbox onily on xbox 360 and if you play xbox live on the 360 you can use 2 players 1 w/xbox live and 1 w/no xbox live
You don't actually get Xbox Live on a PS3, the network for the PS3 is called the PlayStation network (creative). To connect you need an internet connection and a membership. I am currently on the XBox 360, so the details of how to connect aren't my area of expertise...