Its a bit nonstandard becasue normally you owould have a router atteched to the switch that acts as the DHCP server.
It would be better to put the Windows box and the second.NIC on fixed addresses in th e192.168.1.X range as 20.20 will be routable to the internet where 10.x.x.x and 192.168.x.x are not
You probably need fixed IPs unless you have the DHCP service on your windows enabled
I cover networking basics in my video at about 16 minutes in