Yup, bluetooth and airport is the way to go. All you'll need is the power cord and display cable.

The mac mini should work fine for playing the video. VLC is the best for playing diverse video formats, though the interface isn't the greatest. It supports plugins, so perhaps it has stuff for easy to use remote controls.

The only problem with the mac mini that I can see is that it won't be able to play apple's latest and greatest high def trailers, but pretty much nothing besides a powermac can these days.

Matthew