You should use a [data volume container](https://medium.com/@ramangupta/why-docker-data-containers-are-good-589b3c6c749e#.uxyrp7xpu) for `/var/mail` to persist data. Otherwise, your data may be lost.
With the default settings, Spamassassin will require 200 mails trained for spam (for example with the method explained above) and 200 mails trained for ham (using the same command as above but using `--ham` and providing it with some ham mails). Until you provided these 200+200 mails, Spamassasin will not take the learned mails into account. For future reference, see the [Spamassassin Wiki](https://wiki.apache.org/spamassassin/BayesNotWorking).
If this migration implies a DNS modification, be sure to wait for DNS propagation before opening an issue.
Few examples of symptoms can be found [here](https://github.com/tomav/docker-mailserver/issues/95) or [here](https://github.com/tomav/docker-mailserver/issues/97).
This could be related to a modification of your `MX` record, or the IP mapped to `mail.my-domain.tld`.
If everything is OK regarding DNS, please provide [formatted logs](https://guides.github.com/features/mastering-markdown/) and config files. This will allow us to help you.