I assume this is for single player offline and not via scirra arcade.
You will need to learn how to use local storage first, it is not too complex.
You will need a variable to store in local storage that tracks how many times player "won" and increments each time by one... ie. timesScored=0.. (win) timesScored=1.
You will then need to make a variable for each score you want stored. You can use global variables for this or make a global sprite "brain" with instance variable inside (1 for each score stored).
In your win (or scored) events you will need to condition out timesScored=0 TextScore1 set text "Score: "&Score1var... etc
If you want incremental (highs to lowest) you will need to use conditions prior to displaying to check if score1 is > score2 etc.
Or for advanced users, store them in an array.. or even dictionary.. or.. many ways..