I have given my MBP the host name blair.com.au (I own this domain name) but its not pointed at my machine or anything via DNS (I am trying to make an internal test machine).
I have given the MBP a fixed IP on the local WiFi network of http://192.168.1.50
I can access the 'Welcome to Server' page via http://192.168.1.50 (My Documents, Wikis etc)
I can access a local website (just the 'Welcome to Server' page) via blair.com.au (its the default website).
I don't have DNS turned on.
Over to you, Blue Leader!
With that setup your server should work privately, but not be accessible from outside your network.
The 192.168.x.x range is a range of private IP addresses. This means that everyone who sets up a network can use any addresses in the range for their own purposes. Nobody outside their private network will be able to access computers at those addresses. You would use such addresses for devices like internal routers or printers which you didn't want outside people to access. That setup should work fine for a test setup.
Your Server.app GUI should tell you where on your disk the welcome page is stored. You should be able to use it to instead point the site at another folder containing your own files representing your own web site.
Later on you will want to make your web site publically-accessible. blair.com.au actually points to 220.127.116.11. That address is a public one: people from anywhere on the internet should be able to access a server at that address. There's no web server at that address. Assuming you do actually have the rights to that address, you need to change the DNS address of your server so that this is its actual address. You can do this using System Preferences (changeip was recommended for earlier versions of the Server OS but is no longer needed)
Thanks - understand internal vs. external DNS.
I used to run a webserver at home; whilst I had a dynamic IP I used DNS update to tell zoneedit what my IP address was, and it worked fine.
Managed to get phpPGadmin and Joomla up and running (needed to add 127.0.0.1 to address postgresSQL listens to in the LaunchDaemon).