No, the batteries for the Power Kit products do not contain the same contacts that are present on the batteries used in the Modular Charge Station.
While the batteries are charging, there will be a white LED that illuminates corresponding to the battery port the controller is placed on.
When the batteries are fully charged, the white LED indicator will turn off.
No, to properly charge the controllers from the Modular Charge Station must be plugged in to the Xbox One™ console.
No, you are not able to use the Data Bank and Modular Charge Station at the same time as they occupy the same space on top of the console.