The narcissist has a badly regulated sense of self-worth. However this is not conscious. This may be some other mental health problem but this can never be narcissism. Narcissism MUST include a component of active and conscious grandiose self-image. If someone thinks that he is not unique - then he can never be defined as a narcissist.
Narcissists are never empathic.
They are attuned to others in order to optimize the extraction of narcissistic supply from them. Because narcissists are unwilling to change - it is a take it or leave it proposition. I am living proof of this. I thought I was doing my best to help people. Since I cannot resist my urge to obtain narcissistic supply - I might at least divert and channel it positively.