No, your computer will be fine, and performance will be fine, but there's a little fun involved.
Parallels uses a technology called virtualization to run another OS–in this case, Windows–using a combination of hardware and software to create a "virtual machine" that acts like a computer. Due to a variety of technologies that exist, virtual machines offer quite good performance when compared to their actual physical counterparts, and can be used for gaming with relatively hit to performance. And no, your computer won't explode, heat management and all that is the same.
Unfortunately, there's a catch with Parallels: GPUs. Modern games (such as those you want to play) rely heavily on GPUs to provide good performance. Games such as these rely on APIs to handle many functions related to GPUs. Currently there are two primary APIs used for games: Microsoft's DirectX and OpenGL. Unfortunately, DirectX is exclusive to Windows–thus, games utilizing DirectX are generally Windows exclusive (ignoring consoles.) The games you described use DirectX: thus, they are Windows exclusive. This presents a problem when using Parallels: because it runs a virtual machine, it can't normally perform the low-level calls needed by APIs like DirectX to the GPU. To get around this, Parallels translates DirectX calls to OpenGL calls (which do work on Mac) before they are executed. This can result in a somewhat significant decrease in performance, though it may be tolerable.
However, recent Intel processors have started shipping with a technology called Intel Virtualization Technology for Directed I/O (VT-d) that allows these low-level calls to be passed through a virtual machine, eliminated the performance hit described earlier. Your Haswell processor is just new enough that it does ship with this technology onboard! Following these instructions for Parallels, you can leverage VT-d within Parallels to run Windows games with very little performance hit. It's quite lengthy, references a few other pages, and generally wouldn't work well if I posted it here like I normally would, so I recommend you read it there.
In conclusion, you'll be able to play your games using Parallels just fine with a little bit of work.