Gorgeous what is the blue bird ?
It's a Bluejay. They are awnry. Will throw other baby birds out of their nest to start their own nest, They chase other birds from the feeder. In the woods, they can be a hunters friend or enemy. As they will sound an alarm if something comes walking thru their area.
The woodpecker is a 'Red Bellied Woodpecker'. They are relatively common. Our biggest is a Pileated Woodpecker. Not to common, I see one in the woods occasionally but never in town.