How do I run an application on my phone from my PC? I have a phone with a touch-screen malfunction, I want to run applications on it from my computer, connected by USB. Is that possible?

I've tried applications like http://mymobiler.com, but that has failed me (I can see the screen, it's not responsive).

Sadly, I have ADB turned off, so I cannot use applications like the android screencast, or DroidExplorer.
LogMeIn Ignition may work for what you want to do. It really remote controls the pc but to truly run a PC app it would have to be on a PC.