Docker inspect $container should return you most of the info for the container. You can also get a shell inside the container via docker exec -it $container sh. If you have a dockerfile for the container you can see how the container has been set up.
Additionally the shell history can also yield useful information on what has been done. Docker saves the logs of running containers in /var/lib/docker/containers
thanks, super-useful. I think I will bring up a couple of docker containers at home and check where and what they log, then try and extrapolate from that. I’ve managed to get into a couple of them with the -it command.