The luggage tags you have printed are only to get your bags to your stateroom.
The last day of the cruise you will receive new luggage tags with a number on them. This number defines disembarkation order AND where to find your bags in the terminal. The assignment of disembarkation numbers is based on a secret formula that probably has to do with your status with Carnival (VIP or not) and when your flight leaves - that is why the ask for it on your Fun Pass.
If you don't have to catch an early flight, why hurry off the ship.