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Xylocopa micans
A bee with large mint green eyes, a blue abdomen, and a yellow thorax
Suburban yard on beggar's tick
Actually, comparing the "faces" in figure4 of the link in my other comment to your photo #4, I'm more confident it is X. micans
Note : it may be the very similar Xylocopa virginica a male Eastern Carpenter Bee. I'm going with southern because you mentioned a noticeable blue abdomen. Bugguide mentions that southerns have a more purplish iridescent abdomen. Here are other details to distinguish them, though I don't believe visible in the photos.
http://entnemdept.ufl.edu/creatures/misc...