Second tree is a Dogwood, Cornus florida.

The 1st is possibly Persimmon.

Agreed. Second is Diospyros virginiana probably. If I recall correctly, it's an astringent persimmon species so you have to let it soften on the tree before eating.

I was told that the native persimmon fruit is edible after a frost. They do taste amazing when ripe. I was also instructed not to over eat them as they are quite fibrous.

FataMorgana

Native persimmons are delicious. I'm not sure about edible, but they are not palatable until they are very ripe. Frosts sweeten them up like candy. In my area, unfortunately, they usually drop long before a frost.