I'm nat familier with your particular equipment, but I have set up a cable modem - router - wireless router environment.
Each router does have to be configured with a PC director connected to it (the CAT5 cable). It sounds like you are very close to getting it all set.
First of all, your routers should actually have two IP addresses. One for incoming and one for outgoing. Your ISP shouls assign an IP address to the incoming side of your first router. It will not be a 192.168.x.x address. The outgoing IP address from the first router should be 192.168.1.1, as you have stated.
Now router two should have an input IP assigned by router 1. This should be someething like 192.168.1.5, again as you have stated. But the output side of router 2 should have a differnet subnet address, like 192.168.2.1. You may have to configure this mannually.
When you connect your computer to router two you should get an address like 192.168.2.2. Onve you see these adresses correctly, then make sure each of the routers is configured to forward all HTTP trafic.
Hope this helps
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