Order will not have the field framework, add an idea on the idea portal so that can be prioritized if there exists a need. Until then you have the additional info on the order and on the order row itself and today it does not exists a way to configure so they will be visible in the back office ui.
Cart will always be stored with a reference to a cookie and depend on the cookie consent a long lived cookie will also be set. When using a headless client you should forward the cart context identifier with the request to the server and cookie should not be used.
Translations for the states are added into the website texts so everything related to the website is in one place.