Hi Roy,
Since its a home network, don't worry about domain registration. Your wi-fi router provides DHCP & DNS by default. Active Directory will not work with your router's DNS. TO setup Active...

If you don't have a router, and want to use the server as a router here is the method:

Lan card one: Internet plugged in.
Lan card two: has to go your 2nd computer or switch.

Proceed to setup...

Here is a step by step guide to setting up a DHCP SCOPE after you are done installing DNS & DHCP via the Add/Remove/
...

I strongly suggest, you read up on Active Directory, Group Policy, Server 03 DNS & DHCP setup. that should set you on a good start to meeting the requirements you mentioned above.