Addendum:
To praise the customer friendliness and the after sales of the supplier CSL. So not only a replacement for the card was offered to me (which I declined), but also a compensation for the day-long debugging. With the now reinstalled previous 2 Port USB 3.0 card from another supplier and as compensation from CSL free delivered 4 Port USB 3.0 Hub (model no. 25077), the USB 3.0 extension works properly. Even a My Book hard drive from WD WD with special drivers (WD Drive Management devices) that has no hardware switch and when connected always starts with the computer is working properly.
It's worth it to me two additional evaluation points.
CSL - 4-Port USB 3.0 (SuperSpeed) card PCI Express Controller Card | Interface Card USB 3.0 | New model / New Driver | USB Hub internal