Florida has outlawed open carry of firearms except in certain limited circumstances.
The law was passed in a special legislative session, without the usual public comments and committee hearings, after Florida passed shall issue concealed carry permits in 1987.
Janet Reno is widely credited with lobbying for the open carry ban and getting it passed.
She was a state prosecutor in Dade County (Miami) at the time. He anti-Second Amendment activism is likely one of the big reasons she was selected as the Clinton’s AG.
Open carry in your home is legal in FL. Doesn't matter if it's a rental. Brandishing however, will get you noticed. I'm guessing that's what this was...