Just so I didn't miss anything earlier... you don't plan on carrying on base do you? I doubt if it would result in a court martial, but a quick administrative discharge would be in your future if you were caught on base with a firearm. But check into it at base security what their rules are. Also, any particular reason you need a CCW? Where do you plan on carrying? You don't need one to carry in your car, and you use it anywhere there are people around, like malls or bars or concerts, so why?
Check out this website as well:
http://www.packing.org/state/florida/
790.25 (5)(5) Lawful Ownership, Possession, and Use of Firearms and Other Weapons
It is not necessary to have a license or permit to carry a loaded firearm in a private vehicle, so long as the gun is "securely encased". Florida law defines a weapon as being securely encased if the firearm is in a glove compartment, whether or not locked, in a snapped holster (not worn on your body!), in a zippered gun case or in a box or other container that requires a lid or cover to be lifted or opened in order to gain access to the firearm. These restrictions do not apply to any person who holds a valid Florida Concealed Weapon License or a reciprocal state license/permit.
CCW Forbidden Places
790.06 (12) License to Carry Concealed Weapon or Firearm
Any place of nuisance as defined in s. 823.05
any police, sheriff, or highway patrol station;
any detention facility, prison, or jail;
any courthouse; any courtroom, except that nothing in this section would preclude a judge from carrying a concealed weapon or determining who will carry a concealed weapon in his or her courtroom;
any polling place;
any meeting of the governing body of a county, public school district, municipality, or special district;
any meeting of the Legislature or a committee thereof;
any school, college, or professional athletic event not related to firearms;
any school administration building;
any portion of an establishment licensed to dispense alcoholic beverages for consumption on the premises, which portion of the establishment is primarily devoted to such purpose;
any elementary or secondary school facility;
any area vocational-technical center;
any college or university facility unless the licensee is a registered student, employee, or faculty member of such college or university and the weapon is a stun gun or nonlethal electric weapon or device designed solely for defensive purposes and the weapon does not fire a dart or projectile;
inside the passenger terminal and sterile area of any airport, provided that no person shall be prohibited from carrying any legal firearm into the terminal, which firearm is encased for shipment for purposes of checking such firearm as baggage to be lawfully transported on any aircraft; or
any place where the carrying of firearms is prohibited by federal law
In addition, Section 790.11 prohibits firearms in National Forests except during hunting season. This does not apply to a firearm securely stored within a vehicle on a state road.
62-D-2.014 of the State Administrative Code: Allows State Parks to restrict the carrying of firearms in all Florida State Parks. Even those with a Valid License to Carry in Florida can not carry in Florida State Parks.
Florida Statute 823.05 defines a place of nuisance as a "place which tends to annoy the community or injure the health of the community...or any house or place of prostitution, assignation, lewdness or place or building where games of chance are engaged in violation of law or any place where any law of the state is violated."