Jack:
The documentation for the FMCOMMS3 at:
http://wiki.analog.com/resources/eval/user-guides/ad-fmcomms3-ebz
Has a list of supported carriers:
http://wiki.analog.com/resources/eval/user-guides/ad-fmcomms2-ebz/reference_hdl#supported_carriers
VC707 is listed, so yes it's supported by the HDL design.
The AD9361 supports MIMO (2 Rx, 2 Tx) - that's independent of the carrier it's attached to.
The Receive and Transmit chains are completely independant - so, yes, in FDD mode, it's full duplex.
-Robin