Omega theme is not adding livereload.js
Livereload will only be added to the page if the Drupal instance can reach out to the livereload.js specified.  Note that loading it in your browser (remotely from the server) is different than Drupal loading it from the machine.  Drupal is running under Apache as a process on the machine.  What it sounds like is Drupal/Apache/PHP cannot access the settings you have in Omega.

If you are familiar with Linux command line.  Log into the machine and attempt to load the livereload.js file using wget from the machine using the exact URL you are using in Omega. If you do not get a return, you have found the problem.