Getting rid of it is fairly easy:  stop the moisture intrusion including condensation and clean with bleach.

However from that list - the most concerning items are associated to appearance of mold (laundry wall room/ behind hall bath toilet) and identification of active moisture (laundry room ceiling / active moisture intrusion at lower wall of converted car port) in a few locations.

Just about any home built since about 1960/70 is designed to have functioning air circulation systems, and without circulating the air you are going to have mold, moisture, heat soak and other issues.

@Russell Brazil I plan on adding dirt to form a gentle slope away from the building, both downspouts run about 2' away from the exterior walls and I can easily extend those.

I’d very much appreciate your (gentle) criticism of the concept, questions about how it works, or suggestions for me as I try to get this off the ground.

Roaches may like the moisture of a bathroom but they still need to eat. 

no door = one step closer to "open concept" lol no normal/cheapo door should be that much to replace. as far as the dryer, might as well get them one that was gently used instead of paying couple of hundred for a service call. p.s.

I have heard not to caulk around the batten so moisture can release Incase it gets trapped inside, but also heard caulk all around battens also to block and moisture going in.

I doubt that too; maybe it's just me but it puts me off to see carpet in a bathroom situation and in a place that may or may not have moisture issues - I'd just as soon see the floor painted and put down an area rug. 

If you can reach it from the outside, you might (gently) poke a toothpick into any small holes near the bottom corners; sometimes they get plugged up with mineral deposits from the evaporated water, or leaves, bugs, mud, etc.