It is normal on some PSU for the negative rails, being unused by the system, to be out of spec. This is not a problem that will cause instability because, umm, nothing uses that voltage. If you wish to test for proper regulation of that -12V rail, you might temporarily place a load on that rail, something like a 100 Ohm, 2W resistor between it and ground, then recheck the voltage (preferably with a multimeter). The PSU datasheet might give specifics of how much load is necessary on that rail for it to regulate properly, or they might've rounded it down from 0.nnn A to 0A since it shouldn't need even half an amp.
We can't know anything based on the HDD activity stopping as that might simply be due to the system hardware (or OS) crashing, but to rule out the drive you can run the HDD manufacturer's diagnostics. Also check Windows' Event Viewer for problems, run memtest86+ for a few hours, Prime95's Torture test for at least 30 minutes, noting errors in either.
Is it possible the screen blanking coincides to idle time, that power management put it in a sleep mode that it just isn't waking up from? If not, also check the video card, CPU, and chipset for overheating, that the fan(s) are working.
Beyond that, if you have spares of any parts, swap those in and check the rest of the voltages with a multimeter. As with -12V, if the PSU provides a -5V rail that may also be out of spec due to no load on it.