I had initially assumed that her line on the left was "yoroshiku," but at second glance it's actually "yoyoshiku," which has no meaning that I know of (or that my internets know of, for that matter). It's possible it's a corruption of the phrase, but that doesn't really seem to fit with Bikko or the rest of the text. Can anyone shed some light here?

(yoyochiku)

Ha ha, yeah, I can't type today. Someone tag me with [retarded].

Yoyochiku is indeed a childish way of saying yoroshiku. As for the rest, http://ja.wikipedia.org/wiki/よろしくメカドック