displaced from their lands they brought everything
they could with them and settled in this remote and
largely inaccessible region. They brought their
spears and their bows, the secrets of what the
Greeks would later turn into pankration -the basis
for modern martial arts, their magic and one other
thing.

Wow, that WAS awhile ago.  However, modern Asian martial arts were 
based
off of Shaolin Kung Fu, not Greek styles.  Altho I guess you could
postulate for the fic's sake that they were derived off the same root,
to a limited extent.  or something. ;p

Pankration predates Shaolin by a fair bit.  It was in fact the ancestor 
of Greco-Roman wrestling, abandoned because of it's tendency to kill and 
cripple athletes.  There has been some speculation that pankration and 
boxing were taken to India by Alexander's armies, 
influenced the development of early martial arts there which then were
spread to China by the early Buddhist missionaries who provided the
basis for the Shao-lin.  However there is no documentation of the 
speculation.  

"Let's see, a little over a year and a half ago
a dojo destroyer came through the area and
the Heir to the dojo, Akane, was rather badly
hurt.

You sure she would be?  There's no reason for her hand to be injured in
this continuity, and if she was in good shape (she'd still be beating
legions of boys every day, too) she'd have a decent chance of taking 
the
Dojo Destroyer, given what we saw of them fighting in the manga.

Yeah, but he doesn't like Akane, so letting her win simply wasn't on.