You can use any cat 5 ethernet cable to connect the xbox 360 to the router.
No you need XBOX 360 controllers.
The original Xbox controller doesn't work on the 360.
Yes you can.
you don't need too, you can use xbox games on xbox 360
sometimes but not always
yes you can use the xbox 360 controllers on the xbox 360 slim. I use my controllers from my old xbox on my new 360 slim.
You can not play xbox 360 games on an original xbox, however you can play some original xbox games on an xbox 360 console.
No.
No.
No.
I think the question is "Do you use an original Xbox or Xbox 360 controller when playing original Xbox games on an Xbox 360?" If it is than, you use an Xbox 360 controller. Left Bumper turns into "white button" Right Bumper turns into "black button"