If you change the Compose files shared folder, the plugin will recreate them in the new location
If you change the data shared folder, you will have to move the data to the new location
If you change the backup shared folder, you will have to move or delete the old backups.
If you change the Docker data storage path, you will have to move the files while docker is stopped.
If you follow all of those suggestions, your containers will never know anything is moved but it isn't easy depending on your container setup.
After having a mess in Docker- and Compose Files due improper settings (lack of knowledge when configuring composer), it was helpful to have the information above and also the content of this post:
So I'd like to thank you all for contributing.
Now what I finally did:
So now everything is as I wanted 
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