As other FTers have said, luggages are the key. You will probably need to request a larger car (a van).
If outstations will probably oblige, it is not possible to book a van at DXB arrival for one person. It will be subject to availability and to cooperation from the CD agent. As for anything, status will help.

If one sedan (E-class type) is enough, then, no need indeed to involve EK desk.