Erik, the Kessle Run wasnt an event of any kind, it was just a favorite smugglers route. It was considered too dangerous for the 'law' to monitor, as it took you close to stars and/or black holes. When Solo says he made it in under x-amount of parsecs, hes refering to distance traveled (think of a parsec as a mile). This has caused many a discussion (and even a joke in the family guy episode) as how distance can determine how fast he is. What Solo states is that by flying dangerously close to stars and black holes, hes cut the distance traveled shorter than any other smuggler.
As for color schemes and such, remember the falcon is only one of a complete line of vehicles, just because Solo had a gray Mustang, it doesnt mean every Mustang Ford built is gray. As fans we may think its a one of ship but its not. If you pay close attention in Episode III, Revenge of the Sith, you can see a Correlian YT-1300 in a quick scene.
*search youtube and you can see it.