Each section has it's own separate archive so you just need to go to that specific part of the dashboard and select archive.
Here are some quick links to use for the different archives:
Tenancies: https://www.myrent.co.nz/tenancies/archives
Listings: https://www.myrent.co.nz/listings/archives
Tenant Checks: https://www.myrent.co.nz/background_checks/archives