This site (https://wiki.freebsd.org/Graphics/WITH_NEW_XORG) states a working Radeaon HD 5000 with X.Org version 1.12 . But only X.org, no virtual terminal support (note the VT switching (1) comment).I'm afraid you may have an unsupported card.
https://wiki.freebsd.org/Graphics#AMD_.2F_Radeon_Graphics
I'm afraid you may have an unsupported card.
https://wiki.freebsd.org/Graphics#AMD_.2F_Radeon_Graphics
Yep, the NVidia card should be fully working. It does require the "legacy" driver though, x11/nvidia-driver-340.