All great replies here.
The only thing I can think to add is that location 1 on your map seems dreadfully close to the neighbors. I'd avoid putting the coop closer to someone else's house than you're willing to put it to your own.
Trees are the best thing ever, but small trees don't do much. So wherever you put them, make sure it is compatible with adding some shade cloth... Or a trellis with vines overhead, something.
The only thing I can think to add is that location 1 on your map seems dreadfully close to the neighbors. I'd avoid putting the coop closer to someone else's house than you're willing to put it to your own.
Trees are the best thing ever, but small trees don't do much. So wherever you put them, make sure it is compatible with adding some shade cloth... Or a trellis with vines overhead, something.