Steven,
Thank you for the information and screenshots. I am happy to hear that your account is up and running again!
I think I see the issue that is happening with your data. In the current version of Maps for Power BI, labels are unfortunately not supported. However, it is possible to add additional data to the Tooltips field-well so that when you hover over a location on your map, you will see additional information regarding your data. This is only possible when in authoring mode. Any data added from ArcGIS will revert to the supported format in Maps for Power BI.
Below are a few screenshots demonstrating the upload process from Maps for Office-->ArcGIS Online--->Maps for Power BI. You will notice that the labels disappear on my map as well.
Additional resources (section - Tooltips): https://docstg.arcgis.com/en/maps-for-powerbi/design/add-data-to-the-map.htm
Please let me know if you have any other questions!
-Anthony