Rather no than yes. It will work if the router is configured to work in the "G" mode.
A Wireless G router provides Wireless access to 802.11g compatible devices
Usually they are, you have configure the router for G wireless networks.
Yes, you can. Wireless N devices are reversely compatible with G networks.
Yes it is backwards compatible
No they do not. They simply have to work on a compatible frequency. Such as wireless a, b, g etc.
Yes, if you connect them using a LAN cable.
You can get a wireless router repeater at amazon.com or from your local electronic store. The repeater you choose must be compatible with your router http://www.amazon.com/Belkin-F5D7132-Wireless-G-Universal-Extender/dp/B000FTLOL0
Yes, a wireless n adapter is backwards compatible with wireless g. Check the box you are buying and it will tell you if it is compatible with which wireless ranges.
It depends on which wireless adapter you are using for your xbox. You should have G or N.
The same as with wireless G card and G router.
Most 802.11n routers are backward compatible and will support 802.11g.
No.