On a cable connection you shouldn't need to enter any password to the router to get an internet connection. The router should be connected via ethernet and it's WAN port to the ethernet port of the cable modem. The PC(s) can be connected via ethernet to the LAN (Network) side port(s) of the router, or usinng wireless once you have that configured.
---------- Post added at 12:29 ---------- Previous post was at 12:27 ----------
I'm trying to find the specifications for your new router, but "Azurewave gr-580" isn't showing any links on

Are you sure that is the correct model?