Before we get down to this, as written, no monk base would take this class. The reason why is because of this line from the SRD:
Therefore, based on all your class features, where you require a character to be making off-hand attacks with an unarmed strike, a monk would not qualify. I assume that was not your intent, so I'm bringing it to your attention.Originally Posted by Monk "Unarmed Strike
Swift Strike actually allows three attacks, since you hit with your sword, then get a free attack from Two Handed Combat Expert, then you get your unarmed attack from Swift Strike.
I think you should put a hyphen in Two Handed Combat Expert. It just looks off without it. (Two-Handed Combat Expert seems right)
Two-Handed Combat Expert, as written, clears away a lot of annoying feats for a TWF who takes this class. You don't need Improved, Greater, or Perfect TWF, nor do you need Double Hit or Two-Weapon Pounce. You get all of those, but better, for free. Pretty nice.
To be honest, I don't know why you aren't advancing unarmed strike damage. The fluff of the class is that he's training with monks. He should be able to deal unarmed strike damage as a monk. I know it doesn't really matter, since the difference between 1d3 and 1d8 is an average of +2-3 damage per attack, but you'd be surprised how people love big dice with unarmed strikes. And yeah, you can buy a monk's belt, but you shouldn't have to.
There is no reason to restrict the main hand weapon to a blade. If a guy wants to TWF with a hammer or an axe or a rapier or a dagger or even a club, you should let him. It's the same fighting style. I don't see why you would put any restriction on his main hand weapon (other than ensuring it isn't also an unarmed strike)
Skills are good, but I would add Knowledge (Religion), as monks (even strangely oriental flavored monks in a traditionally Medieval European setting) often spend time studying religious texts.
...A deflection bonus, eh? That's a bit of a strange thing to give him. After all, he's using his weapons to parry, right? And yet you're giving him a bonus that he would retain even while flat-footed. If you want to keep the bonus type deflection, I would at least say "He loses this bonus to AC when he is flat-footed or would otherwise be denied his Dexterity bonus to his AC"
You should know that the fist cannot have the keen weapon enhancement, as the fist is not a piercing or slashing weapon. I believe there is a weapon enhancement similar to it for bludgeoning weapons, but I can't remember the name or the source. (I would just say the fist threatens a critical on a natural 19-20 and it doesn't stack with any other effects). The maximized unarmed strike damage is laughable without unarmed damage progression, considering that any non-monk who took this class could expect an average increase of +1 damage per round. (from an average of 2 to a maximum of 3). And critical multipliers don't "double". That's a big no no no no no. A critical multiplier increases by 1, such as from 17-20/x2 with a keen longsword to 17-20/x3.
Class looks like fun. Good job.