Googling "falcon 1.3 z97" is unsuccessful. Maybe post a link?
Thunderbolt chipset: yeah, it should be fine for the Apollo devices, but it sounds like you don't know if it's a Thunderbolt 1 chip or a Thunderbolt 2 chip, so I think you should find out. Use IORegistryExplorer.app, lspci, ioreg command line, Windows Device Manager, whatever, to get device ids and vendor ids (try my pcitree.sh script mentioned at
#187 and the later posts). It's likely you have a Thunderbolt 2 chip, and the Apollo devices use a Thunderbolt 1 chip.