The picture is of the first floor, most are block in Florida. Though, the cracks don't look like typical "step" cracks. If block on the first floor, nothing you can do with the stucco, just start looking at all your penetrations.
You should look at a few areas that are typical sources of water intrusion..
1. Windows.. not just the exterior seal against the stucco, but the window frame bottom corners always leak. Use a good quality silicone around all frame corners
2. Exterior penetrations.. A/c lines, electrical, boxes.. etc
3. Back pitched soffit. The driving rain can follow the soffit and go behind the stucco. If you don't have the correct accessory (or mid wall) as noted above, the water cannot drain correctly.
4. Even if you have a midwall joint, it too could have been installed incorrectly and leaking.
Do you see any delamination? Buckling of the stucco. If so, there is nothing you can do at that point but remove the stucco and assess the source of water intrusion.
Anyway, just like an engine, there are many things that can lead to a failure. Process of elimination will help.