you cant
Yes
There is no such thing as a corded xbox 360, all 360 can use wireless controllers, even the arcade unit.
No.
yes you can
The only difference is color, so yes, you can use a regular controller with elite console
yes.
Can you not ask stupid questions? (no)
Move it closer, or use a wireless connection, or buy a REALLY long ethernet cable.
No
Yes Xbox 360 accesories such as the wireless keypad, bluetooth headset are all fuctional and compatible with and only xbox 360 system
No, you cannot sync an Xbox One controller to an Xbox 360. The two controllers use different wireless protocols and are not compatible with each other. If you want to use a controller with an Xbox 360, you will need to use a compatible Xbox 360 controller.
Xbox s has wifi adapter in it the normal one you have to buy one to use wireless