I think you will probably have a hard time finding one that does video.

"Will cameras with larger lenses like the SLR cameras capture more light and use a shorter shutter?"

I think that would depend on the iris of the camera, and less on the lens, but I could be wrong. There are so many different choices when it comes to lenses it awe-inspiring. They make them for just about any application. I told my gf to just get a regular point and shoot, and she did. Problem was, three months later she wanted a DSLR. Best buy she has made in a long time. Too bad the 300 dollar camera that she had bought prior to that was worth about 100.

Also, with the DSLR, you can get a great zoom lens.... should fix any auditorium issues!