Mitch, here's the thread about weight. It should help with planning.
viewtopic.php?f=21&t=603921/8" ply with 3/4" x 1 1/2" spars will be plenty strong for a roof. Take a look at hollow core doors as an example. You have solid wood for the "hard points" at the edges and cardboard inside. If you use wood for the roof spars & stringers, and 1 1/2" foam insulation for the core, it will be plenty strong enough. You might consider hardwood for the spars which will have fasteners in them supporting the weight of the AC unit, but the rest can be pine, fir or poplar. You could even use 5/8" thick spars if they are clear (no knots) and straight. I'm using 3/4" plywood for the sides, but removing
everything except 1 1/2" edges for fastenings at hard points for cabinets, doors, etc. The center will be 3/4" foam, the skins will be 1/8". This is fairly light, strong and durable.
Before you go any further, take a look at a summation of various plywood weights (1/8"=.40#/SF, 1/4"=.70#/SF, 1/2"=1.28#/SF, 3/4"=1.90#/SF) and the actual square footage you will be using. This will give an idea of where you will end up. I would urge you to do a summary first! tim