@rainisto
I really appreciate you help here! But all certificates and https urls are my private bank or work, and thus are confidential.
The exact same certificates work as supposed in Mozzila on my Ubuntu and Mandriva lap-tops.
With my online banking I get "untrusted certificate" warning, I proceed and I can log on successfully to my account, but my client certificate is not used and thus I can not perform any banking, only monitor. And there is no way making my browser use the client cert installed in system.
On my work secure url's there is just "Can't open page" notice.