My business is closed,do I need to continue membership fees to retrieve Bank Register history?

You'll want to export your data, MadDick.

You can export your Chart of Accounts to keep a record of your bank register. There are also other things in QuickBooks Online you can export.

1. From the left menu, select Reports.
2. Search for Account List.
3. Select the Export icon, then choose Export to Excel.

Check this article for more: Export reports, lists, and more.

After exporting your data, you can cancel your subscription.

Here's an article for future reference: Reactivate account for year-end form filing.

I'll be right here if you have other questions.