Download of Plex Media Server says "Invalid file format. Contact package developer

Forgot you were on 7.1.1 update 7.

If you are comfortable with the Linux CLI, you can SSH into the NAS:

$ sudo synopkg stop PlexMediaServer
$ sudo synopkg start PlexMediaServer

You can also use the Synology Task Scheduler. See FAQ 35: Start/Stop Plex using Task Scheduler.