I am writing a letter to my W, expressing the hurt I feel from what I found and also telling her that I will stop pursuing, speaking about the R.
Why is that a letter you need to write? Cant you just DO those things? I think it will have more impact than a letter. All she is going to take from that is that you are invading her privacy. The rest of it is going to wash past her.
In general, actions speak much louder than words. AND doing nothing is an action, and often a powerful one.