Thanks. You certainly have the hardware for running the game. One thing I'd like to check for first is whether your slightly unusual resolution is a factor. You can check for this by launching in Windowed mode.
To do this you can go to My Documents\Plants vs Zombies GW2\settings and open PROF_SAVE_profile with notepad.
It's fairly big, but towards the start of the document you should see GstRender.FullscreenEnabled 1.
If you change the one to a zero, then the game should try to launch in Windowed mode. There are
If the issue persists, a crash report -if it exists-may be very helpful.