Seems like you have it pretty well sussed.
It seems to me that all the apartments were pre installed and I'm assuming that the service box you show is in your apartment which would mean that that there is another main distribution box in the communial areas somewhere feeding the boxes inside the apartments, This means that suppliers/ providors can turn you on/off without needing access to your apartment.
I agree that the top right is fibre, but probably only wired back to a central hub, whether you can actually get a fibre service will depend on the availability from local providors.
It looks to me that you may have a traditional phone line pre installed into the little white box (bottom right) again this would need hooking up in the main services cupboard.
Re the Cat5, maybe the urbanisation is going to provide a LAN (local area network) via a community patch panel or you may be left to just install your own network via ADSL/Fibre router