I would put 1x4's or even 2x4's in the corners, but also I would run a couple of studs up the interior walls. I would also put a frame around your pop door. These things will keep your walls from bowing or warping. The plywood is strong, but it is still susceptible to moisture which causes the bowing and warping. I would also run a couple of cross supports on the roof. If you do get any type of snow load that roof will break in half. Built each wall and the roof strong enough to walk on if they were a floor.
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