Thanks for the advice Havoc10G and danblar.
Since it's a complicated itinerary with three stopovers and an open jaw, their website couldn't handle it

. Went to the local Emirates ticketing office where they clearly have very little work to do. Two people, the other just sat there doing nothing while I was there. No phones to answer, no emails to answer. The agent I worked with told me during the 30 minutes or so I was there they get almost no first class bookings (HUGE shock based on how they treat F). I've come to the conclusion that they simply just don't want to work and are annoyed when they have to....
It won't affect the flights though, still six weeks away and all questions finally answered so those agents will be a distant memory by the time we board.
Also we're going to buy fast track service with buggy in BKK in case the "normally" doesn't happen on our flights since that would absolutely flip me out

! Being told "sorry, we don't have any fast track cards", I'd probably call Amex and find a way for a chargeback... So best to avoid the problem from the outset and just buy the local fast track company