using libreelec 12 on RPi4 (4 Rpis) and jellyfin on a nuc, no problems at all
try to investigate with the jellyfin log and the kodi log, maybe post on the jellyfin kodi addon github
I'd guess that if you have Kodi configured to play the next episode and media is opened from a view that lists multiple episodes .. it will do what it's been told to do.
No ideas on the stop/exit although Kodi should buffer if the connectivity is poor, so it sounds more like an issue with media itself or something server-side or how the add-on works 
I'd guess that if you have Kodi configured to play the next episode and media is opened from a view that lists multiple episodes .. it will do what it's been told to do.
No ideas on the stop/exit although Kodi should buffer if the connectivity is poor, so it sounds more like an issue with media itself or something server-side or how the add-on works
It seems as if something is sending a skip command to the player, so if its a Movie it will just stop and exit playback, if its a TV Show it will start playing the next episode. I too expect the player simply to buffer and maybe crash out if connectivity is the issue.
What do I look for in which log file to see if this is the case?
You can start with a Kodi debug log, but I suspect that's not going to be enlightening. If you're able to test and replicate the issue with Kodi running on a general purpose Linux OS like Ubuntu that would be helpful to eliminate LE itself from suspicion and allow you to concentrate on the add-on; which will have a support thread in the Kodi forum where the add-on authors hang out.
