Hi Netbase1,
Is the Reporting Services that you have mentioned Access Service Report?
If yes, please refer to this link: http://support.microsoft.com/kb/2634602.
If not, could you please provide the detailed steps that you import the site template to SharePoint online? You can also refer the information in this thread to check if you used the similar steps to import site template to SharePoint online.
In addition, currently the PowerShell is not available to import site template to SharePoint online directly.
Thanks,
Eben Liu