I like your drawing and I think that it has great potential. Using 2x2s for the run is ok since it isn't bearing much weight, but I would definitely use 2x4s for the coop. They are usually less than $0.80 more per board and much sturdier. Any wood touching the ground should be pressure...
6/5 I just found 6 eggs in the nest box today. I have 5 chickens, so I must have missed one of the eggs yesterday. I have a Barred Rock, Black Australorp, Buff Orpington, and 2 Easter Eggers. They are the best chickens and average at least 3 eggs or more a day.
I don't know exactly where the data was created. I did find some information on the website http://www.avianaquamiser.com/posts/How_much_space_do_chickens_need_on_pasture__63__/ "....on data in Raising Poultry on Pasture. One mainstream broiler producer felt that his chickens needed 10...