Your yard is very wet. At least this section that you are showing.
I see nut sedge too and also Dichondra and dollar weed! All of these plants grow in wet, sandy areas in Florida.
When I lived there up until April of 2018, the wetter area within my lawn was just full of these plants. That ribbon like plant, the name escapes me, also loves very wet sites. Those wet sites are called swales or sloughs. The State of Florida frowns on homeowners doing anything in terms of fertilizing or weed killing during the rainy season! The rainy season typically runs from mid-May through September.
Because of all the tropical storms and thundershowers, those sloughs produce a lot of runoff and those chemicals wreck havoc with the Florida ecosystem and waterways. Fines can be rather costly!
I would be very careful in doing anything in these areas now until the rainy season is over.