There's at least
one old topic dedicated to these. I think this is the first those last two have been posted (although they've been circulating in AIM chats anyway).
"Can't Defeat Airman" is pretty much the right translation. The Rush&Eddie movie is called "Koitsu wa Honto ni Kyouryoku suru Ki ga arunoka?" which as far as I can tell means "These guys are really uncooperative" or something. The last one is "Clear madewa Nemuranai!" which seems more easily interpreted as "Can't sleep until I clear the game!" since MM1 had no password or save feature.