Ability to set custom statuses and log the status of each form

Does JotForm also have the ability to set custom statuses and log the status of each form (e.g. Draft, test sent, sent to client, signed)?

Please check this user guide: How to assign a status to submissions

There are built-in features also that pertains to setting status on form.

https://www.jotform.com/help/keyword_search.php?rpp=0&search=form+status

Let us know if you need further assistance.