its nice. but more of a rabbit hutch style for that many chickens. are you planning on a run attached to it? i dont see room for nesting boxes? its a good start. i would go a bit bigger, if you have someone that can build that good,,, heck go for a bigger coop that will be more comfortable for that many.
if you are planning on keeping only 4 like you said, it might do. you will need a tarp, they are pretty cheap. the hardwire cloth is a great choice, predator safe.
be careful when free ranging out there, are you home, or they are on their own? i free range only when i am home. predators will visit your neighborhood, if not already, just prepare yourself.
i dont care for the wire flooring, thats just me, a bit hard on their feet. do what works for you, just my opionion.
good luck!
nice bunch of cluckers youve got there.
btw: you do have atleast one roo in the photos there. is there a reason you dont want a rooster? if you are free ranging, he could/will protect the rest of the flock if theres danger around.