Smallflower Pawpaw

I don't have any other suggestions. I'm going as much on the conformation of the leaves on the stem; the fruit also resemble the fruit, although round and small compared with the elongated fruit I've seen on A. parviflora that only get about 3-4 inches long when ripe. When you feel these are ripe, you could cut one open and see if the seeds resemble the pawpaw seeds. (These may have a way to go yet). There are a number of species of Asimina in Florida that don't occur up here in the northern part of Georgia. I've only seen photos of their flowers.

I am very familiar with paw paw and this seemed much different from what I normally see. The fruit are usually longer and slightly fuzzy. Any possibility this is something else?

Great spot! This looks like a pawpaw (Asimina sp.). There are several different species in Florida; I don't know which one this would be. It'd be great if you can check this in spring when they bloom - they often bloom before they put out leaves; the flowers are quite enchanting.