After apt update and apt upgrade all except one docker container aren't started anymore.
Containers have status exited using docker ps -a and can be started using docker run $containerid
Where should I start fixing?
At first you shouldn't use docker run for existing containers but docker start
From the official documentation :
docker run
Run a command in a new container
docker start
Start one or more stopped (includes exits) containers
For your issue, I suggest you to recreate (so with docker run) your container with the flag --restart always Source and more info
-d.