Press Every Option
Is the essence cliff added as bonus dice or successes?

Pick Your Battles
The bonus should be equal to the highest Essence Cliff, not the total of all essence cliffs, a mortal shouldn’t be the fastest being in the setting just because a legion of Dragon blooded are trying to follow him.
Also I think this should be a reflexive charm, with a low cost say about 2m.

Stone-Shattering Strike
This is good.

Storm Weathering Stance
So is this, through perhaps a little low?

Mortal Hero Form
Seems okay

Those Who Run Away
Last sentence should be “or until he attacks them or one of their allies, whichever comes first.”

Appearing the Possum Technique
Seems good, do however note that its main use is in increasing your Essence cliff, and thus improve the rest of the style, not in hiding what you are.
You could save two words and make it more conventional by changing the wording to

“For each three motes committed to this charm, the Mortal Hero appears to have one less dot of Essence, to a minimum of one.”
And then remove this sentence
“This charm cannot reduce the user's Essence to zero.”
but that a minor thing

Furiously Eyed Wings Apparition
The last sentence is redundant, since this charm doesn’t change what you are, it just forces people to believe you are something else.
Do the user choose which kind of creature they appear to be, or is it random?

Heroism Without Endowment
The sudden declaration of servitude seems at odds with the rest of the fluff of someone who fights against beings much more powerful than themselves, especially considering that the effect has nothing to do with servitude.

The defensive option needs this sentence or one like it added to the end “as an unique flaw of invulnerability.” Referring to the bashing damage
Otherwise it looks good.


general comments:
why so many combo-ok charms? Enlightened Mortals can’t make or use combos.
while the general theme of a lesser being raising up against their greater is very cool and fitting for a terrestrial martial arts, it isn't so fitting as humans natural style, considering that they where made to be prayer batteries and that they where chosen for exaltation because they where no treat to their greaters. Which meant that their greaters had not thought to defend against them. The humans was the cosmic mistletoe if you will.
Therefore I suggest that this good style was renamed to something like "Fist of the People Style" or "Sparrow style" or something, with the flavor that it was invented by a enlightened mortal hero.