I believe this is a Downy Woodpecker. Here’s why. While the Downy and the Hairy are very similar, the Downy displays some of the white spots on its tail, while the Downy does not. Also, it’s bill is more conical and shorter than the Hairy’s.
I am by no means an expert birder, so my conclusions may not always be correct. I’ve studied the Audubon Guide, iBird Pro, and Peterson’s Guide to help me better determine which of the two similar woodpeckers this one is in these photos. They are almost identical and one of the guides states that the bill is the only reliable way to distinguish between the two.
Here are two more photos of this species.