I guess the only way to increase dynamic range is HDR. Even dSLRs need to use HDR to increase its picture's dynamic range. Hardware already fixed.

You can adjust the curves in Photoshop to create a more dynamic picture.
To have more bokeh (blurred background), you can either use the Super Macro Mode or more zoom at small f number. For flower pictures, don't be afraid to get close to them. Squat, lie down, kneel, or whatever, just get the composition that you want to take. Don't be afraid to be dirty or might damage the camera.

Try to work with the light that you have. Photography is about the manipulation of light. A bright sunlit object will always have the best effect. Only when you don't have enough the flash is used.

Always hold your breath when pressing the shutter button to avoid hand shake. Try to use the viewfinder and press against your face for a more stable hold than depending on the LCD display. It is also good practice should you go on to using a dSLR.

Hope this helps. Do practice more and post more for us to comment. We are all learning everyday.