Why the hell would anyone turn on a fracking heat seeking missile launch system for the heck of it, I don't know what morons are in Izzas group but I don't like their decision making at all!
Also keep this place a secret, its basically a "kill someone random for free" machine and no one has to know of it for now.
Well we did leave them behind to die. Perhaps they have a winning condition to seek revenge?
It would seem likely someone could broadcast to everyone without the need for a specific device. It also would not surprise me if such a device existed in here.
I would expect there to be some form of isolation between the floors, meaning that heat would not transfer easily up there.
The heat generated by the power generator would also be minimal. They have been creating some very energy efficient generators in the past few years, which do not exhibit a lot of energy loss through heat.
I would expect the designers of this ship would consider other methods of heating up the ship.