The score card is your record of performance on each track. In order to have all the data captured here is what you have to do.
Best overall position - you have to finish a race on a track to have this display.
Best lap time - will only display if you have completed one lap on the track you are looking at
Max Speed + Combo + Perfects - this will update as you best your performance on any given track however to record the data it is best to finish a race on each track

Your rank and division will automatically update, the only thing you can do to improve this is to get better at the game and upgrade your bike