While I can't remember specifically if it was FLL, I think I know the play area that you might be referring to (many airports have them). A five year old will be bored of this play area in less than half an hour, it is more geared towards toddlers.
Best advice: take your time getting off that ship. Wait for them to kick you off. Take an Uber to a playground in Dania Beach, minutes from the airport. Enjoy the typically beautiful Florida weather this time of year.