I can't see why a FC would have mission board, contacts or trading. These things are system- or station- or faction-specific items under the influence of one or more of the local factions. The fleet carrier is an external device under the control of a commander.
Are you suggesting that the FC should relay data to/from a station of your choice - with all the complexities that would involve - to save you the effort of travelling to it? (And 14 kls isn't that far.)
I would assume that the Mercenary FC variant
would should have a mission board. Contextualised against the other variants, to not have that simply wouldn't make any sense (and I could barely imagine any use for it if it didn't).
Given there's also the Bounty Hunter loadout, which presumably has some impact on collecting bounties, and the trader/smuggler/miner/explorer/pirate variants, there isn't much left for a Mercenary variant if it
doesn't have a mission board.
That said, having all three of trading, mission board and relevant contacts would be excessive, imo.