A "Haematopus bachmani" Whoa - can't say that remotely crossed my mind (meaning I've never heard of it) Honestly I don't know this bird at all and don't believe I've ever seen it. Definitely does have a unique beak though. About the size of a crow?
Ok - now the grey/brown bird.........hmmmm what pops to mind is sparrow (but I kinda think that is too simplistic)
OK. I'll put you out of your misery, I was sure you would get close with the Downy woodpecker, and I might of given you it, this one however is the hairy. Do you want anymore eyes?