Recreation of an Access Database

I have a small database which manages our training courses. It is working but needs a few changes to keep pace with the changing business environment, However, our developer and maintainer has died and we have lost the password to the back end.
The database manages Courses, Delegates, Memberships, examination bookings and provides a few simple reports.
I need to recreate the database function with some minor changes. I have no preference about the final database system, except I prefer not to have to pay a regular subscription. I would like to import the data from the existing database as part of the project.
I will then be looking for ongoing support and maintenance, which is not critical as part of this project. In addition, when we have a working system, I need some minor changes to be made to the current functionality.
We are only a very small operation so our choice of who to proceed with must be based upon the costs of getting a functioning database that will replicate the current system. I would, also, accept proposals based upon breaking or removing the current database password. However, payment then to be on results, i.e. production of a copy of the unlocked back end data.
I can provide copies of the front end so the database structure can be seen. I can also provide out-of-date copies of the back end data, following assurances of the protection of the confidentiality of the data.