Should I encapsulate my crawl space?
Yes, bringing the crawl space into the conditioned space is generally recommended as a way to prevent crawlspace moisture problems (I assume this is what you mean by encapsulate). 

This means:


sealing vents to the exterior
sealing the dirt floor with polyethylene sheeting (at least 6 mil), or concrete
creating vents between the living space and the crawlspace (ideally supply air to/from the space with HVAC ductwork), and 
insulating the interior side of the crawlspace walls on (not necessary in climate zone 1 or 2; and preferably with board foam or spray foam because fiberglass doesn't do well with moisture).
probably a good idea to remove existing floor insulation


This will prevent humid outside air from coming into the crawlspace and condensing on cold surfaces, and prevent/reduce moisture from coming up through the dirt floor or walls. Your AC will also deliver cold air more effectively. Good site drainage is also key.

There are many good references on how to do this properly:

http://www.housingzone.com/crawlspaces-vent-or-not-vent

https://buildingscience.com/documents/bareports/ba-0401-conditioned-crawlspace-construction-performance-and-codes