Fujifilm X100 Black Special Edition Refurbished - Broken on arrival!

If the battery is producing too much power and is getting hot could it damage the camera I wonder or is the X100 switching itself off as a fail safe?

I am suspicious of the battery as after it seemed to have charged I put it in the camera for about 1min then put it back in the charger, the charge led came back on and the battery stayed like that for another 1hr or more without the charging led going off to indicate a full charge.