Why not use the native Synology app?
You’ll not have to fuss with a compose
All the files will properly be setup for you in the PlexMediaServer shared folder.
You’ll only need worry about granting PlexMediaServer permission to read the media files
Secondary to that is what you show here.
Given your docker compose file is not using absolute pathnames, it’s uncertain what you’ve done as ./plex would normally be created as /./plex . The root (/) partition of all synology systems is only about 2.4 GB and will quickly overflow – creating problems.
If ./plex does end up as /volume1/./plex – that’s good.
To the errors you’re showing; EAE errors are almost always associated with inotify table overflow (the table fills but EAE needs 2 slots per transcode)
Give this a shot.
If you don’t have enough media to even worry about it (e.g. less than 8192 folders) then I very much suspect you’ve been overflowing the NAS OS partition (/) itself – You could ‘brick’ it — leading to a complete reinstall of DSM. (your media would be safe but all apps would get wiped)