These images indeed suffer from a blown-out red channel but also from focus that is badly off as well as camera movement caused by a shutterspeed that is too low. I'm by no means an accomplished concert shooter but I've tried my hand at a few now and then and will try to offer advice:
Let's tackle the red issue first:
Anvh's answer comes close to at least part of the story. You are dealing with lots of light in very severely restricted frequencies but the sensor does not "see" color at all - the Bayer filter eventually ends up "making' color out of a B&W image because of the color matrix overlaid onto the image. Every pixel in the eventual image is an averaging of that sensor location with the surrounding sensor locations. If that sensor location on the spot where the Bayer matrix has a red filter shows a quantity of light but the neighboring ones saw very little (they either have a green or blue filter holding back the red), those neighboring ones will have a tendency to end up red in the eventual image as well.
Second, your metering system was designed to convert everything into shades of grey as well, averaging out across the whole of the image or most of the image depending on the metering mode chosen. In a typical concert you actually expect the background to be dark and the performers well lit but the metering system does not "understand' that crucial piece of info. Even spot metering will not do here as it measures a small area only, again as B&W or better yet light&dark. Depending on whether that small area is over a face or over a piece of clothing, exposure may vary wildly. The "spot" can actually be quite a bit larger than what you see in the viewfinder, leading to issue like the ones with averaged metering above.
Third, in a concert environment, light tends to hit your metering system from two sides; not only through the lens but strong light sources behind you may cause lots of "leakage" through the viewfinder eyepiece causing the metering to get confused.
Reliable focus under concert lighting
The focussing system again relies on an average lighting situation where most of the lightrays are known to focus on the sensorplane more or less. However, we know that different colors are bent differently at every glass/air boundary dependent on the refractive index of the materials used. Under this lighting, the focus system can be fooled easily in thinking you are focusing while actually the overkill of one particular wavelength might mean a slight front- or back-focus. The SAFOX II in the K-5 (legacy model) is known to have issues under such light sources but frankly I'd expect any camera to exhibit this behaviour under these extreme conditions. The solution is to increase DOF by closing the aperture a bit, just enough to "catch" both the slight fron- as well as back-focus within the available DOF.
Camera movement
If you are shooting in Av modus, chances are your shutterspeed are dipping below the minimum required to sharply render based on subject distance, focal length and steadiness of hand or use of f.i. a monopod. Singers who bounce over the stage like balss in a pinball machine don't help any either. The solution is to choose your shutterspeeds wisely.
Total story
Putting all of this together it becomes obvious that actually only 2 modes of shooting are sensible: full Manual (M) or full auto ISO (TAv) where you constantly check your histogram and zoom in on the LCD to make sure you did alright and adjust where necessary. If using TAv it might even be necessary to dial in a few stops of underexposure to account for the dark background. In both modes, make sure your aperture is set to a sensible value to get at least a bit of DOF (use a calculator online to determine prior to the shoot) and your shutter speed is at least 1 divided by the focal length or faster (adjusted for any movement on the stage). I could be totally wrong but that is how I would approach the red light issue. If you shoot raw which I believe you did, whitebalance can be adjusted afterwards and it does not affect exposure at all.