There are two main "issues" here. One is white balance and one is exposure.

It sounds like you have a pretty good plan of attack on the exposure front, you have a good grasp on shutter speed, apeture, and ISO. I think you are doing the right things here, the only two other things that would give you more flexibility and image quality would be using a tripod, and providing more off camera lighting. Your camera doesn't have an option to add an additional flash unit, but you can add additional ambient that is the same color temperature as the 60W that you already have.

The second issue is white balance. Your camera does not have an option to choose a RAW format, that would allow you to adjust the white balance later on a computer. So you really need to get the white balance right in camera. This may mean choosing something other than auto white balance. It might also mean removing some lighting pieces to prevent mixture of different temperature light. Mixing florescent, incoming window light, and on camera flash can be very difficult. I would suggest trying to have one good light source, such as large window(turn off room lights) - or close the window completely and have make sure to have enough similar light to expose properly(maybe 2-3 lamps).