I went through the transcript and found 101 instances of "I," "me" and "my" in it. Maybe I missed a few. A lot of it was along the lines of: "...12 years ago I addressed this convention...," "I know, the same can't be said for me...." "...my brilliant wife and partner..." In other words, it was someone telling the story of what they saw, what they had heard, what had happened to them. It was focused in Clinton and America, and it was just him speaking from his heart.

By contrast, Trump's acceptance speech had 117 instances of "I," "me" and "my" in it. Given that it was a little longer, you would have to expect more occurrences.

As neither speech was discussing an abstract proposition, but was dealing with something fairly personal, you'd have two expect about that proportion of self-references. Trump is pushing his own agenda and persona; Obama is discussing his experience of Clinton and changes of the last 7 years. On the basis of word occurrences, neither seems narcissistic.