Digital cameras: Videos / Movies (Nikon Coolpix S630)

Videos / Movies (Nikon Coolpix S630)

I just bought my first digital camera, a Nikon Coolpix S630. I bought it primarily so I could film videos of dance teachers demonstrating various moves, so that I can study them later.

I found the instructions confusing, so I was amazed when I actually got it to work intuitively (or by accident). I actually filmed some videos and downloaded them to my computer.

The big surprise is that I couldn't get it to work in Video Mode; I wound up using Movie Mode. Can someone tell me what the difference is and which I should use for filming people dancing, often in dimly lit buildings?

If Video is an option, should I choose NTSC or PAL? (What's the difference between them?)

In Movie Mode, I understand the progress bar at the bottom of the screen, but what does the flashing red "RED" in the upper left corner mean?

What settings would you recommend I use for filming a dance teacher in a dimly lit room? Do you have any other tips to offer?

As I said, it's working; I can record videos/movies and download them to my computer. But I'd like a little help getting up to speed, as I have a class tomorrow, and I'm not even sure if I should be filming in Video Mode or Movie Mode.

Thank you.