Ok, let's sum things up until now.
- If the PC case has the PSU fan heading downwards (towards the carpet) then that might be an issue. It obviously needs a minimal space for air intake, but the carpet easily generates more dust and gives back less cool air than a tile, or any straight surface really. This can, in turn and with enough time, damage the PSU.
Just a wood plank would be enough, really, and if your PC case has none and is literally sticked to the ground, some rubber feet as well.
- Even if the room gets hot, your case should keep the components cool while being closed. An open case setup should be your last ditch effort, as it almost completely eliminates airflow. How many system fans do you have? How is the cable management done?
- The PSU is indeed bad, and should be replaced whether or not you fix the issue. Should anything bad happen or not, it's really 60~100$ for a single unit compared to at least 200+$ for potentially multiple units, if by dying it brings some other component with it, so there's no reason to save on that. Use
this guide and choose your own poison, but don't go under tier two class B units, unless you're on an extremely tight budget and only if you're not overclocking/using a top-tier gpu; even so, it's not recommended to go under tier three in any case.
- To have a better idea of your issue (assuming it isn't the PSU), we need something better than the error code, as gamerk316 already pointed at. Your PC should have created a dump file with the related information. It's usually either under [unit]:\Windows\Minidump\, named as Minidump[datetime].dmp, or more rarely under [unit]:\Windows\, named as MEMORY.dmp.
Either analyze that yourself (you'll need to download, install, configure and correctly run WinDBG) and post the log, or upload the dmp file somewhere, although it'll lack some information by doing that.