Oli, turn on SoftWare OpenGL and then re-open the file and try to reproduce this specific issue.
If you can't then your GTX card (when was the last time nVidia had a card called GTX?) is not as suitable as it once was. The problem could be a recent driver update broke your cards level of compatibility or a recent Windows update that affected your video cards driver support. It could also be a hardware issue-that the video card is starting to overheat.
It could also be that display management utilities-such as nView, that display switcher by logitech, or some widget to play slide shows in your task bar is causing problems for the 3D pipeline. In particular, look at software that's supposed to help manage your cursor and dipslay splitting in a multi-monitor environment
If you can, then I'd check to see if you have perspective view enabled-which can result in camera clipping if you're zoomed in too close with a long lens.
Hopefully you have your issue resloved by now, I thought I would post this in case others run into the same thing. I'm running SW 2013 and had this same thing happen for the first time a couple of weeks ago. At first it was just the display disapearing during the zoom which I had atributed to a slow computer, then the cursor accuracy went haywire as you explained. After alot of digging I found that if I selected one of the view orientations (front, top, side etc) both problems went away. I just reconfirmed this today I had the same issue with only the display disappearing during zoom, and sure enough the selection of a preset view orientation solved the issue.
I haven't had the issue since but will try this next time. I also have an occasional issue with zooming in and out with my 3D mouse, where the display will flicker and the model disappear at alternate zoom increments. This also seems to be solved the same way as the cursor issue. I guess it effectively resets the display pane?