Hi Nick,
Your welcome! Thank you for the additional information. Based what you've described, I don't think you have to worry about your walls breathing. You've got you poly vapor barrier where it belongs, on the warm side of the wall. I'm ASSuming that you didn't caulk your exterior sheathing to your framing, so you should have some modest air movement from the Tyvek to the vapor barrier, which is what you want. You only have a small living space to worry about. Your vapor barrier should keep things good and tight and controllable. If you're feeling like things are getting a bit stuffy, you'll be much better off cracking a window than slicing your poly. The interior wall cavity should be able to breathe just fine based on the info you gave me.
Now, for the leak on the south (blue?) wall. Looking at your photos, the only constructive criticism I can offer is that it appears that you may have been a bit inconsistent on the amount of overlap on your Tyvek seams. Now I need to tell you that I'm not any kind of engineer or authority whatsoever, but In my opinion based on
experience, this is not something you should worry about once your house is cladded (note that there was no more leaking after you installed the exterior plywood).
When there is a heavy / severe and especially wind driven rain event, all kinds of freaky weird shit can happen and sometimes, what seems like
common sense can fly out the window! If you combine capillary action and a pressure differential cause by wind, a surprising amount of water can travel against gravity and get into places that seem to be impossible. This is why when windows are commercially water tested, (basically sprayed with water following some guidelines) the testing often includes building a sealed cavity on the interior side of the windows and applying a vacuum.
Even if you were super careful taping your Tyvek seams, I bet if you look closely you'll find little gaps and failures in adhesion here and there (again, nothing to panic over, but feel free to add some tape where necessary). I think it's a safe bet that one of those failures, or perhaps a little damaged section in the Tyvek is to blame for your leak that only appeared during wind driven rain (especially since it happened below the drip edge of your roof and you don't have gutters). I think you'll be fine with any building exterior as long as the material you choose can stand up to the weather where you are. I wouldn't get hung up on how many nail holes you're going to make in the Tyvek / sheathing.
Can you be more specific about the moisture you're getting through the floor?
Cheers,
CJ
P.S. Kudos for building your own tiny home!