Very weird. Did anything change in your setup that coincided with the sudden issue? A software update perhaps?
Since the server is not functional in this state. You might try just starting over. Backup/rename your WowzaMediaServer-3.0.5 folder (or whatever it is named), and just reinstall a fresh copy. If it's still restarting this will tell you it's likely due to something external to Wowza. Since you'd be installing the same version, you can switch back and forth between the fresh installation and your old one just by renaming the folders.