WeatherSpark.com. The climate is quite enjoyable in this city in this month. Water temperatures in the Gulf of Mexico, as well as in the Atlantic Ocean, will range from the low 60s to middle 70s around this time too. below-normal temperatures for much of the middle two weeks of March. South Florida weather records include the counties of Broward, Collier, DeSoto, Highlands, Indian River, Lee, Manatee, Miami-Dade, Monroe, Palm Beach, St Lucie and Sarasota. Detailed images from NASA polar-orbiting satellites, withan archive going back to the year2000. ,