I have a little experience with the clusters based on swapping a Carrera cluster into my car. I prepared a document with some notes and pictures. If you send me a PM with your e-mail address, I'll forward it to you.
I don't have any experience with the problem you are experiencing. Have you removed the cluster for any reason such as to replace a light bulb? If you removed it, perhaps you did not seat one of the connectors correctly when you reinstalled it. If this sounds like a possibility, I suggest you remove and reinstall it. Wayne has published some good instructions here:
Pelican Technical Article: Boxster 996 Gauge Cluster Upgrade - 986 Boxster (1997-04) -
If it was just one lcd not illuminating, I would suspect a failed bulb, but it seems like a big coincidence that all of them would burn out at the same time. Perhaps there is a fuse that powers part of the cluster that is out. I think you need to check B1, B10 (both 15 amp), and E1 (7.5 amp). However, since you have a car built for Sweden your fuse layout may be different. So check the chart under your fuse cover.
Another remote possibility is a fault with your ignition switch.
Good luck with trouble shooting.