Ahaha, it's okay. Just some Vocaloid geekiness.
You see, Hatsune Miku is the first in the Vocaloid 2 series, with better singing capabilities. She is a part of a special line called "Character Voice" or, CV, which features some back story and illustration, which helped in appeal to the market. Since she is the first in the CV series, she is stamped with the lettering 01, which you can see on her left shoulder?
Therefore, Vocaloid 2, CV 01 is Hatsune Miku.
The quote was reference to the manga out in Japan called "Hatsune MIX!" (which is kind of a pun, since the romaji for is is like 'hatsune mikusu") all about Miku (and siblings Rin and Len, but mostly Miku-miku!). And she sometimes says her given name three times, just for the cuteness factor. The other two comments were based upon the lyrics for one of her songs "Ballade 01" and the fact that she is popularly drawn with a vegetable like a leek, something that started when someone had her sing 'Ievan Polka' (aka The Loituma song).
So I will be cosplaying as Hatsune Miku, just like the signature warns!