I did everything you advised and a lot more, as I switched all the settings again and again.
I also used a plug-in "diseqc tester" that is available to download. That showed something strange:
Diseqc commands work perfect for Astra, but not for Hotbird.
When Voltage mode is set to polarization the box doesn't get any services from Hotbird.
When Voltage mode is set to 13V all Horizontal Polarization services can be tuned.
When Voltage mode is set to 18V only Vertical Polarization services are tuned.
The thing is that I cannot get both Horizontal and Vertical polarization services at the same time...
(Problem remains only for Hotbird. Astra works fine)
Hope someone could help with that...