Several ways of getting there... Right click within the preview pane and chose 'Time display' or go to the 'Title' tab and chose 'Timecode;. Also you can right click on the video object in the timeline and pick 'Fade in date as title'.
I've not used this feature before so I'm not sure about it but suspect the two dates shown in my image are maybe when the video was recorded and when it was imported into my computer.Can't say much about your camera. Do you mean it can't record the time onto the video image or that it doesn't record date/time into the 'meta' (/) data of the file?