The headlight washers only "go" if you have your lights on, otherwise they do nothing. They will work with your normal windscreen washers if held on for a few seconds, like that other guy says there is a time delay between doing the headlights and them going again if you try.
The traction control thing could be the steering angle sensor, it happened to me when I fitted my cruise control. The slip ring that supplys power to your steering wheel functions whilst its turning was rotated with the wheel off. Throws up a steering wheel angle sensor error and stops the traction control from working.
Very easy to see if you have access to VagCom, as it will show you the current angle of the steering wheel, obviously going forward with wheels straight should be 0 degrees, mine was -369 degrees becasue I rotated the slip ring with the steering wheel off. All you do is spin it back with the wheel off, then put your steering wheel back on. 5 minute job, disconnect your battery if you do this though, better safe than sorry (dont want your airbag going off when you disconnect it).
It may be something else mind you, it just sprung to mind when you said your traction control didnt work
