Akagi doesn't know about the Pocky game. She think that whoever eat Pockey alot or fast, they win. She just realize 'how' to play the pocky game in the last panel, lolz.
I didn't get the pun/reference she was making in panel 2, so someone should re-translate that bit.
It's punning "1000 light years" and "1st Carrier Division", both read as "i-kkou-sen-nen".
-with Pocky?A game-My my, Admiral! Are you really challenging me, Akagi, to a game involving food?*smug*Um... I-I didn't know...this was this kind of game...Sorry!I'm really sorry!No, it's not that I don't want to eat them or anything...! It's just, um...You're a thousand sorties too early!Appetite is Life