Linksys Wireless Router :: WRT54G2 - Connect Ethernet Switch (for Hardwired Connections)?

In my main office, I have a cable modem which is connected to my main E4200 router. All of my equipment (except my Ooma) is served by the E4200. The E4200 broadcasts a wireless network.In my basement, I have a Wii / entertainment center. The E4200 signal from upstairs isn't strong enough to stream video.
 
I bought the WET610N and have successfully set it up to interact with the E4200 wirelss network. I can hardwire my laptop to the WET610N and verify the internet works greatHowever, the Wii must connect over wireless. I have other equipment in the basement which would benefit from an internet connection. So, I want to A) connect the ESXS88W 10/100 8-port workgroup switch I have to the WET610N *AND* also broadcast a wireless signal in my basement (assuming the wireless network I see in the basement is the same "old" one from upstairs which has not benefited from the WET610N).
 
How can I set up my WRT54G2 to broadcast a wireless signal in the basement so that it leverages the E4200 signal served by the WET610N, while also having the workgroup switch offer hardwired connections to my other equipment (like Dish Network receiver)? It doesn't seem to work by just plugging the WRT54G2 into the workgroup switch.