Any error that follows this format indicates something has changed in your JIRA configuration (on the JIRA server) so that the user account used by the integration with Aha! no longer has the ability to edit some issues. If you log into JIRA using the same user account, you should see that you can't use the Edit screen to modify the same fields.
Aha! can only set fields via the API that are visible in the Edit screen in the JIRA user interface. The Edit screen is the popup that you see when you click the "Edit" button on an issue.
Make sure that the summary field (or whatever field is mentioned by the error message) is visible on the default screen in JIRA.