In the first case, the woman has a mental illness, so her rape accusations are the product of a seriously ill mind, not a nasty revenge seeking ex or a drunken teen who 'changed her mind,' after the event. The woman should be hospitalized. This is not a useful example I feel.
The second case does not state the age of the boy involved, but as the teacher teaches A levels, for the sake of this thread, you may assume, as one of her pupils, then he was 16-18 yrs old. The age of consent is 16 yrs and although there is a breach of professional trust, it perhaps is not a criminal offence as it would most certainly be if he were under 16yrs.
A large majority of the prison population of women, is non payment of TV license, which would indicate that they are treated rather more harshly than men in general. (Told this by a friend who is a prison officer)
Women are treated so less leniently than men in the world, you know.