am i missing something or the picture is incomplete or diagram mistake?

"its IP is 192.168.5.1 and has 4 ports" vs "192.196.0.1 subnet 255.255.255.0 and"
here its 192.168.5.* and there 192.168.0.* 0_o
could you please be more specific. and provide us with a network diagram viz
PC -> LAN -> Switch -> Router -> DMZ -> Internet
where you replace the resources with what you got in your network.