Mac OS X won't boot, logo doesn't even show! Cannot reinstall OS X

I'm really frustrated. I'm logging in from Bootcamp Windows.

First, I formatted my Hard Disk yesterday, and I accidentally erased the bootcamp partition without using Bootcamp assistant, so the "free space" partition was created. I formatted the Mac OS X side reinstalled Mavericks and everything was working perfectly. Next, I wanted to install Parallels 7, using the Bootcamp partition that I wanted to reclaim. So I created another windows partition and unistalled using the Bootcamp assistant, and the free space was merged with OSX hard disk this time. So things seemed to be perfect. The Mac OS X hdd had all its original volume.

Second, this is where everything turned haywire. Because I needed to use Revit and Rhino on a larger partition, I had to install Windows again, creating a 115 GB partitiod. I used BC assistant. It installed Windows fine, but on restarting, Mac OS X did not boot. It didn't even show up as a disk when I hit the ALT key. But when I checked Disk Utility in Recovery mode, the disk was showing up fine. So I decided to reformat it again - erasing the contents and tried installing Mountain Lion, which was the only option I had using Internet recovery. The installation did not work! It said, the recovery system from the main volume was missing, or something like that.

Third, I tried to restore from Time Machine. Now, it boots, and the apple logo shows up, but then after a few seconds, the logo is replaced by a ➖ (X) sign instead, and nothing shows up. I'm so afraid my computer is permanently damaged, can somebody please tell me how to fix this? I have loads of assignments due this week, I'm about to cry 😟