I stopped reading at page 8. I don't think they should punish the woman who lied. In addition to the statute of limitations, she was 11 years old and had no way of being culpable for her actions. I do think the man deserves major civil recompense for false imprisonment - I lay the blame at the feet of the courts for convicting him on unreliable evidence.
If a woman lies about rape and is an adult, or old enough to be tried as an adult, there should be a trial, and if there is enough evidence to prove that she lied, she should go to prison. I think there is an outcome possible (or even likely) wherein neither party would be convicted: There is not "beyond a shadow of a doubt" evidence to convict the man, nor is there enough evidence to convict the woman of lying.
As far as fear of reporting rapes, the fear goes far beyond not being sure you'll be believed. A raped person whose victimization is made public faces a lot of potential social problem that are completely outside the justice system. And that goes for both genders, though the social problems manifest in different ways.