I got this camera for my sister a year and a half ago. It's been an excellent camera. But a little on the slow side now if you compare it to the new models.
First off. I think you are confusing "shutter lag" with "shot-to-shot" time. Shutter lag is the amount of time it takes the camera to take a picture after you press the button. Shot-to-shot time is the minimum time in between shots.
To decrease shot-to-shot times try, as suggested, try turning off the review. And you can also try using one of the "burst" modes. Also make sure you have a fast memory card, at least faster then what the camera can handle.
To decrease shutter lag times, try to pre-focus.
As far as, image blurriness due to slow shutter speeds, try using the "sport scene mode." What this does is it tries to maximize the shutter speed by opening the aperature and increasing the ISO. You can also manually set the ISO to it's highest setting. This should help. However, the higher the ISO the noiser the picture will be. A tripod/lean to/table/etc. can also greatly help!
Hope this helps!
-BD