This is the finished coop as the plan now describes it, sized for 10 to 25 hens. The henhouse has a ridge roof with a big overhang, tiered roosts and a bank of 9 nest boxes, and it's smaller than the run attached at one end. Spin the model, press Inside to look in, then check the questions at the bottom.
One front panel of the run is left open as a sample. Press Door to see the sealed door gaps up close, or Panel detail to zoom in on the sample panel, then Close the sample panel to watch it swing up and lock. Uncheck Winter (fully enclosed) to fold every upper panel down for summer. Turn on Cutaway or press Inside to remove the henhouse's front wall and the front half of its roof and look in. Inside, the middle column of nest boxes shows its closure dropped for the night; the other two are raised for the day. The model shows the shapes and where things go, not finished carpentry. The oak overhead is left out so it doesn't block the view.
Henhouse 8×10 ft (80 sq ft) and run 16×10 ft (160 sq ft). At 25 hens that's about 3 sq ft each inside, which works because your birds free-range by day and only sleep and lay in the henhouse. If they'll be shut in the run most days, 25 hens want about 250 sq ft, so the run would grow to about 24 ft long.
With metal over the whole run, it stays shaded and dry, which is great for hot summers, but darker. If you want some daylight, swap one or two run panels for clear polycarbonate of the same profile. Want that, or all metal?
The lower half is solid all year. Each upper panel hinges at its bottom edge: in winter it's bolted up to the top rail, so the run is fully enclosed, and in summer it folds down flat over the lower panel. Awning-style panels hinged at the top would hit the run's roof overhang when opened. Does the fold-down work for you?
A 3×3 bank has no room for panels that slide sideways, so each column of three boxes gets one panel that slides up and down in tracks. Raise them in the morning, drop them at dusk. Would you rather have one panel per row with the bank laid out wider instead?
I drew the ridge running the long way, parallel to the run, so one gable end faces the run and the other faces away. That's how the rafters look in your photos taken inside the henhouse. If the ridge actually runs across, the long eave sides swap.
Drawn at 4:12, the plan's target for shedding rain. Your current roof looks flatter than that. Do you want to keep today's pitch and just add the overhang, or reframe to 4:12?
Your inside photos show corrugated metal laid straight on the rafters, but the plan was written for a painted plywood deck. That changes how the Phase 1 roof layers go together. Once you confirm, I'll fix the plan.
The roof overhangs 8" all around with no supports. On the long sides the metal ribs make that strong. At the gable ends the metal is weaker, because there the panel edge bends across the ribs, not along them. If those edges flutter in wind, a strip of rake trim along each edge stiffens them. Fine to wait and see?