I think a bit of the typical alignment discussion will roll in here (and there are always different opinion on what a certain alignment means and what not).
So, here is mine:
Your character is lawful neutral. This does not have to mean that he follows the laws of the country he lives in, though this might be. But it means he has some orders and priciples in his life, maybe based on the things he learned in his monastery (if he had one).
Since you are not good nor evil, none of your principles should be based on this side of the alignment axis - Mercy is not a part of your code, but overreactive and bloodthirsty revenge isn`t there, too.
Lawful Neutral might mean you do the things that have to be done (to fulfill your code, or something you "have to do"). If you have to kill someone, you will do so, without regrets, but also without pleasure.
If you give your word, you will stand to it, even if it might cost you (or someone else) a bit. But you probably won`t give your word away easily - only if you are sure that you can do what you promise.
Since you are lawful, you expect everything to have a cause, a reason why it happens or happened, and you expect any action to have an effect on the feature, and this effect has to be considered. This can mean that it is you who comes up with plans to do somethings and who tries to answer questions (solves riddles, finds the murderer), but it might also mean that you are sometimes shy to act, because you don`t know what will happen if you act (whatever your action might be).
As a Monk, you know discipline and dedication anyway (you might wish to ask what came first - the lawful neutral alignment or being a Monk?).
To rollplaying:
Your stats aren`t that bad - in point-buy, you are over the 30 point line. Your Int might be a bit to low, and your Con could be better, but otherwise, it is fine... (Except that I would have taken 17 to Strength - avoid Weapon Finesse and getting better trip values...)
Mustrum Ridcully