You shouldn’t have to change any of the Nginx configs inside of Tutor unless you are using it behind a web proxy. Are you sure that your LMS_HOST and CMS_HOST values are correct in your config.yml?
I’ve managed both Nginx and Apache servers before and have seen this behavior. It’s generally due to the virtual server not having a record and it shunts you over to the default.
Would setting up SSL again perhaps do the trick? Since typically Let’s Encrypt does an auto-config I assume that’s how Tutor works as well.