Hello,
1. The firmware is per PSID and not per OS so if your PSID is HP_0280210019 you should contact HP for the firmware bin file since the card was manufactured by HP.
2. hca_self_test is not the right tool to check the link state and speed, please use ibstat or ibv_devinfo instead.
ethtool <interface> will also work.
You can check the interfaces that were created by the driver by invoking ibdev2netdev.
Best Regards,
Viki