the reason why they all takeoff with for the most part a tailwind is because:
#1 They would have to taxi to the other end of the runway therefore delaying other departing flights, and incoming flights.
#2 there is enough available runway to takeoff with a tail wind
#3 its at the Pilots discretion how he/she wants to takeoff.

I agree I would contact Tropic/Maya and discuss this with them.
Note: theres really not enough room for a terminal big enough to house customs,immigration, with departing flights, and arriving flights.