I may be wrong Marco, but it sounds to be that you've got a useless LC2. If you could control the lights via a remote but the touch dome had failed this could be rectified, indeed I have achieved this, but a completely dead LC2 is another thing!
I don't think I have ever seen on this Forum anyone who has undertaken a repair of the electronics or who is offering this service.
When you say you have power at the beginning and end of the unit, I assume you are using a voltmeter of some type or a screwdriver with a bulb in it, touching the terminals at each end and finding power at both ends. Is that correct? If so, I'm surprised the light doesn't come on as what you have in effect is a through circuit direct to the light which should cause it to illuminate if not be controlled.
This may sound obvious, but I'm going to suggest it anyway; have you got the positive and negatives in their correct connections and not the wrong way around? Also the LC2 requires a negative feed in addition to the positive in order to work.
Now I'm stuck for any more suggestions!
Good luck.