Bet you have an ABS fault code hence the trac control and stabilitrac lights as those systems will be disabled by an ABS issue and those warnings come on.
A basic code reader usually wont access ABS codes, you will need an actual scan tool.
Sounds like a hard fault as they wont clear/reset right away when the key is activated (ABS systems run a self check on power up.)
Electrical tape over the lights 
So I need to pay someone who has "an actual scan tool" to get this fixed and/or the light to go off?
In a nut shell yes. You need someone with a scan tool of a level that can access more systems to see what is activating the fault hence triggering the warning lights. Without the code or codes really cannot diagnose further, you might find a quality (or questionable) shop that may pull codes for you at no charge (not diagnose), from there you will have more info to base what you want to do, diagnose with probable out comes or disregard based on possible out comes.
Those lights are staying on unless the issue is repaired, you remove the bulbs or they burn out

Im betting on a abs module failure ECU, but im guessing.
You mentioned it was cold out, did a furry friend chew some wires?
Wont be a speed sensor fault as you are not moving.
Good luck.
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@Woodchuck, im 5 yrs removed, 35 yrs, did my time and got out thank god