Hi Sunnie, and welcome to Florida, also to ATP.
The first tree is a Ficus benjamina (yes that one people have indoors as houseplants gets that big here!) They are pretty but not considered a good landscape tree, weak trunks, shallow roots and considered invasive, so if you find seedlings under it, do pull them up or mow 'em down. If we get a big wind storm, don't be surprised if a lot of that tree breaks, and/or it uproots itself. If you have the means and money to have it thinned, a good practice for all trees here in FL is to thin the tree's canopy so you can see lots of sky through the leaves. That way the wind can pass through the tree instead of hitting it like a big sail and knocking it over.
Weeping Fig (Ficus benjamina)
The second tree I'm pretty sure is a Loquat which if you encourage it (a little fertilizer in early spring and early fall, regular water) will make a lovely small evergreen tree about maximum 18ft. They bloom and bear fruit twice a year, in spring and fall. The fruit is delicious but not large, and the birds and squirrels love it. A small yellow/gold drupe with two large seeds inside. But if you're into making preserves, or freezing, drying or otherwise preserving fruit it is very nice fruit.
Here's the entry in our database for the Loquat, with a nice picture of the fruit.
Loquat (Rhaphiolepis bibas)
