You will not see the port in the router, that is not something that would show. You need to connect to your Elk M1 using ElkRP2, you should see the port there. The default is 2601.
As for the host, I would first look in ElkRP2. Is it configured with a static IP, or dynamic IP?
If dynamic, then look in your router, it should show the IP address.
If static, then it has to be in the same network as your eisy (and ideally your computer as well).
Either way, are you able to ping it?
If not, that has to be resolved first.