There are of course many ways to do things; but for whatever it's worth, what I'd probably do is:
-- lay thin (like 3/8") exterior-grade plywood on the floor, tacked down with screws and primed and painted with semigloss exterior paint.
-- insulate the underside of the metal roof, either by just gluing up some rigid foamboard (make real sure to use an adhesive labelled as ok for foam, some have solvents that will 'eat' the foam!) or if I was feeling ambitious I'd put the foamboard between the rafters and covering with thin plywood to keep it up there.
-- I might not worry about insulating the walls right now. Maybe see how it actually performs in winter. If you do want to insulate, probably the easiest way would be rigid foamboard panels with some thin wood strips tacked between pieces to screw a covering of thin plywood into.
-- install some new vents, maybe 8" high or so, tucked way up under the roof overhang on both sides of the front doors. Probably with weatherstripped flaps to close them down if desired.
-- and if I were going to be towards the 4-sq-ft-per-hen end of the occupancy spectrum, rather than lots fewer chickens, I would be strongly inclined to replace the existing two louvered vents with much much larger vents in the gable ends. With flaps or whatever to close them down as desired. Whether this would be one hole or a couple would depend on the actual structure of the coop, which I'm not clear on from the pics, but you could figure something out.
JMO though.
Good luck, have fun, cute coop!
,
Pat