Hey there, thanks for the very detailed report!
The thing that strikes me as most strange is that you said that you lost your saves. I've never heard that happen to anyone before, unless they were browsing in incognito mode. So maybe that was the issue?
However, even if you lose your save, you can always skip to a certain section in the game using the button in the bottom right corner in the Load Game menu.
The issue with the inventory being duplicated and/or emptied should be fixed with the next release that we are currently working on! :)
We'll also look into giving a more specific message to the player when Jenna is simply missing her badge in order to leave a nude-zone.
The bug that locks you into the Motel prostitution room should also be fixed with the next update!
Again, thanks for the detailed bug reports and the screenshots! We're hoping to also find time to look into webgl crashes, but right now we're very tight on time.