No problem for me to pauze the game.
Don't forget to contact bitmask/havoc, game runs in 7 hours which may be in their sleeping hours.
Now to your problem at hand:
The external screen should work fine without any driver request, did you remember to use the keyboard combo for switching to the different screen?
It may be more likely that your on board videocard or CPU/chipset has bitten the dust.
In my experience with laptops, its usually the mainboard which fails (very rarely the memory/psu) and usually due to bad solder ball quality under the processor/chipset/vga. If the dealer cannot help you out, and you have no warranty left on the machine, consider the following.
Take the laptop apart (look for the manual for that online).
Take the main printed circuit board, and remove all coolers/stickers/plastic screwd on pieces, and of course the memory etc.
Now pre-heat your oven to 200 degrees C and when it's ready put the mainboard into the oven for 10 minutes.
Turn off the oven and open the door slightly, to slowly allow the temperature to lower.
If done correctly, the solder balls will reflow.
If you put everything back together in the right way, it should work again.
Or you could do it without an oven using the russian method:
Which is the same principle, but only heats the mainboard locally.