What evidence is there for and/or against EI as a separate intelligence and not just a personality domain?

What evidence is there for and/or against EI as a separate intelligence and not just a personality domain? What evidence is there, for and/or against multiple, discrete intelligences as opposed to general intelligence or the “g” factor? Are some people more emotionally smart than others? Along with responding to this general question, take the Big Five Personality Test and explain if your test results seem to be valid and if the personality traits measured may be associated with overall EI.