Camera Settings Question...Anybody Help?

Ok, so its a pretty well specified compact camera (I'm not sure how you'd adjust a video camera as I'm a still photographer lol).

The best way to approach it would be to look in the manual for 'exposure compensation' settings.  If you are after a natural looking night time scene with the lights showing, assuming you have the main lights in the room dimmed so it looks like twilight' you need to leave the camera on either auto or aperture priority if you want to control the depth of field (i.e. amount in focus) and set the camera to under expose by between probably 3 to 5 stops.  You will almost certainly want to use a tripod or some form of support - even resting on some books or something may work.

Personally I'd suggest using what they call 'bracketting' which means you have a base exposure setting and then you take extra shots with different levels of exposure compensation.  This is often the best way to determine what works best and then you can use that level of compensation in the future.

All I can say is thank god for digital cameras, imagine what it was like back in the days of film when you had such a limited number of shots and each wasted frame cost you money lol!