Huge thanks to you dane22 for going above and beyond and helping me solve this issue. What a courteous and professional person.
We discovered the Plex Media Server executable in the installation folder was not installing correctly, and was a Symbolic Link. This was, of course, preventing PMS from running at all.
Today he found the solution. I had created a shared folder called “PlexData” pointing to the Plex Media Server install location in the .qpkg folder. I did this though the Shared Folders section of the QNAP control panel. Leaving this share intact seems to have prevented a successful removal and reinstallation of plex media server. dane22 suggested I uninstall plex from the app center, then remove the share folder (without erasing data) and after that, a reinstallation from the latest QPKG download from plex.tv was successful.
Big takeaway for me was: whatever you do, don’t ever uninstall a plex server through the QNAP app center without backing up your entire Plexdata folder…