Tropic Air will get your bags to you eventually but if it's an overloaded flight you may have to wait for the next flight or in a very rare instance, the next day.
If you have serious concerns about having your bags arrive at the same time you arrive (mostly an issue if you are staying well out of town) you may wish to consider Tropic Ferry (boat service, not related to Tropic Air). No limit on the baggage, and it will be on the same boat with you, delivered with you to the dock nearest your hotel, villa, house. Takes longer than flying, costs about the same. It's all about what works best for you. For those with pets or tons of luggage the Ferry is a godsend.