Florida honors your permit. No open carry period,
in the car or out. There is a provision for open carry camping, fishing, and in route to such, but rarely tested. In your car, either concealed on your person or securely encased, which means glove box, center console' holster under the seat, etc., *does not need to be locked* Basically so long as its concealed from plain sight,you're ok. Restaurants that serve alcohol are fine, bars are not, so just stay out of the bar seating and don't drink.
Signscarryno legal weight here, but, keep in mind that the business or property owner always has the right to ask you to leave if they discover you've ignored their sign.
The theme parks are posted, but bear in mind the above rule. Should you chose to ignore the signs, all are searching bags' so no off body carry. I havent hit a theme park turnstile in a few years, so I cant confirm or deny the rumors of metal detectors.