As Perrone indicated, purple under stadium lights can be very difficult.
Your issue is with white balance - not picture control settings. You have several choices - you can set a proper white balance using the custom WB settings, or you can use the presets and try to get close. Either way, if you shoot RAW you can adjust during post processing while with JPEG files any changes become difficult.
A quick and easy way to set WB is to use Live View. While holding down the WB button, scroll through the choices. You'll probably find one WB option that is pretty close.
A custom WB is the best way to approach a need for JPEGs. With JPEGs, you need to get a correct WB. Since the lighting will be pretty stable, you can set the WB once and you are good for the evening.
I find Auto WB does not work very well for purple.
Vivid does increase color saturation and contrast, so depending on the situation it might be too saturated. I typically use Standard - but Vivid is a reasonable option depending on taste.