Use the first letter and add in the part about how you've kept records of your communications. Don't put in the parts about how he was caught in specific lies because 1) he'll just be more careful in planning his lies 2) he'll look to "get even" with you for calling him a liar (even though he is). 3) He may have lied more than you know of.
Leaving it at "I have been keeping a record of our communications" lets his imagination of what you actually have (maybe he's lied about more things you haven't found out about) and what you plan on doing with it. Rule #1: The unknown is far more scary than the known. Let his imagination run wild.
Also, from here on out, no telephone calls or face to face meetings without recording it (and let him know you are recording it), because he won't put lies in writing anymore.
EDIT: If you he asks you what he was lying about, start off with "Just a couple examples are 1) receiving the rent check and 2) not having an affiliation with Chase, then you paid me with a check from a Chase bank account." Imply without implying that you know of more. If he presses, just tell him that "I'm not getting into it right now. If you want to discuss this further, talk to my lawyer."