Being that it is invasive, would you suggest I just get rid of it? I am trying to clean up the property (1 acre) and have ripped out some other things that were taking over.

Appears to be an Abelia. Here is a link that might be useful: Abelia

Definitely Crape myrtles. They bloom around here from about late July into October. Their leaves also color unbelievably in the Fall (bright orange, yellow, and red--all on the same plant). I have the lavender/magenta variety and in the Spring will be planting the red "Dynamite" variety.

From my understanding, Ochna integerrima (aka O. thomasiana) has wider leaves. The downward hanging flowers are also indicative of O. serrulata. The reddening of the sepals come later, after the flowers. Following are two pictures of the same O. serrulata shrub. In the second photo, the berries are still green. As they mature, they turn dark.