Motivation is the second pillar of emotional intelligence, in particular where your motivation stems from. For emotional intelligent people the motivation comes from within. External motivators such as money, titles or status symbols are less important, as is the approval from friends and teachers or other people you would like to impress.
In my opinion – and you can argue with me here – your true motivations for your actions (the ones only you will know) will indicate whether you are self-aware or self-centred. If you are motivated by your true and honest beliefs, you are aware. When you need approval from the outside you are self-centred.