The first, was that it was vitally important for the Scotsman to start winning tournaments again.
Since he beat Novak Djokovic in that five-set thriller in September he hadn't actually won a tournament. Winning is a habit and no matter how big or small the tournament, it is always an immensely satisfying moment to grasp some silverware in your hands.
It was also a good start for Murray's assault on the No. 1 ranking that has so far eluded him throughout his career. He managed to reach No. 2 in 2009, but was unable to take that final step up.
To reach the top of the rankings system you have to play well at all the tournaments throughout the year and this is something Murray has yet to achieve throughout his career. Now that he has the Grand Slam monkey off his back, he will be able to focus more on some of the minor tournaments in the tennis calendar.
Between major tournaments Murray will have very few ranking points to defend compared to the other top players and this could see him become the top man around Wimbledon. With Rafael Nadal's future uncertain and Roger Federer on the wane, it looks likely that Murray can achieve this goal in 2013.
The win also showed that Murray is still hungry for more success despite the incredible achievements of 2012. Having achieved his main goal of winning a Grand Slam, it would have been understandable for him to perhaps lose some of the hunger and motivation that has been driving his career so far.
The victory at Brisbane proves that he is still hungry for more. He has come so close in Australia before and will be desperate to win his first major down under, and become a multiple slam winner that he undoubtedly has the talent to be.