Just note that the admin console runs fine and it shows that the sample database is running and all services are green.
1) Is the firewall on? If so, are the necessary ports open? You need at minimum 5003 (FileMaker) and 80 (web). If you want remote administration or other stuff, check the docs for which ports are required.
2) Are there any network routers/switches that are set to "paranoid" - blocking everything except stuff that's explicitly permitted?
I did a port scan and I can access 5003 and port 80 from my computer.
I checked the System Preferences on the server and the firewall is off.
I'm going to installing Filemaker Pro on the Mac server also to see if that atleast can access the server.