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This will do everything you want, and then some
This guy can do 1GBE? RB951G-2HnD
What distro should I use?
Build a ClearOS box.
http://news.clearfoundation.com/
Only one that actually supports Wireless N and actually works.
As for routing speed, that is going to be dependent on the hardware you use.
Current version will only be able to use a max of 3.5GB of RAM as I found out, but that much is probably not really needed anyway.
pfsense which can be made into a good UTM, clear os (community is pretty good and free but doesn't update automatically), sophos (never used it) or untangle lite.
Wireless is best left to an actual AP versus some desktop card in a computer.
The EdgeRouter Lite will not do 1000mbit, roughly 700-800mbit tops using hardware NAT but it is flawed so you will probably need to revert back to software which will be around ~200-300mbit tops...
A small i3 box running Linux/FreeBSD/some kind of fw distro would be your best bet.
//Danne