http://mansurovs.com/low-light-digital-photography-tips
In general, getting a new camera wouldn't really change much in a dark room unless you get a dSLR or something. Flash only irritates the people around you in these cases. See if any tips in that guide will help. You can probably try to google tips when using point-and-shoot cameras as well.
And it seems their camera has a low light option too.
You could always try to colour correct later in Photoshop but there's a limit to what it can do as well. If you try to artificially lighten too much you will get noise.