It sounds like you may have a bad/out of adjustment wheel speed sensor(s). They are speed dependent and if damaged or knocked out of adjustment by road debris and such, I have heard they can go goofy. BUT, sometimes they just need to be cleaned. Brake cleaner works well for this. The traction control and abs system work together hence the 2 trouble lights you are getting and of course the "wrench" indicating a code because of the first two lights.
Here is a video explaining how it works.
Hopefully I got this right....
And I agree with Bert. Now that your car has tripped a code, get that code read.