If you don't need those problems solved then it's not going to benefit you a whole lot.
Of course if you are using docker already and are following best practices with containers then converting to Kubernetes really isn't that hard. So if you do end up needing more problems solved then you are willing to tackle on your own then switching over is going to be on the table.
The way I think about it is if you are struggling to deploy and manage the life cycle of your applications... fail overs, rolling updates, and you think you need some sort of session management like supervisord or something like to manage a cloud of processes and you find yourself trying to install and manage applications and services developed by third parties....
Then probably looking at Kubernetes is a good idea. Let K8s be your session manager, etc.