Make sure you have typed the "login" command, also you will need to set a enable secret password. Oh and obviously your router needs to be accesable from your LAN so see if you can ping it from a workstation.line vty 0 4password (/password/)loginlogg...
I'd personally stick with the cat6 in this scenario - I might use fibre if it was avaliable already and the switches were part of the core infrastructure though.
The cat default GW subnet is overlapping the /23 subnet:/23 - 192.6.0.1 - 192.6.1.254/24 - 192.6.1.1 - 192.6.1.254As Milan says, change the Cat default GW to the /23 subnet
ip access-list 101 deny tcp 10.0.0.1 0.0.0.255 any eq wwwip access-list 101 permit ip any 10.0.0.1 0.0.0.255 ip access-list 101 permit tcp any 172.16.3.1 eq wwwip access-list 101 deny ip any 172.16.3.1Then apply it to appropriate interface and direct...
