I have a similar problem with a 52 plate 3dr I've recently bought. It's back with the dealer to be fixed (4th time in as many weeks of ownership!). There is a lot of similar problems on other forums that point to a faulty ABS unit but then you normally get the ABS warning light on as well as TC/HDC. I'm only getting TC and HDC lights on; of course it means you can't use HDC, I don't know whether TC is then also disabled?
My dealer has got LR involved this week so I'll let you know what they have to say. As for repair bills, an 04 vehicle should still be covered by the original warranty - take it to your (or any) LR dealer and get them to fix it.
Have you got SatNav?
Regards Pip