Do remember Ollie that the Judge has heard all the evidence you have only read a newspaper report. I assume the case you refer to is criminal and in the crown court where the decision on guilt was taken by the jury not the Judge who will have 10 years’ experience under the meaning of S71 of the Courts and legal services act 1990 juries are seldom used in civil cases but the decisions of the court are generally fair.
The system of justice used in both criminal and civil matters is not infallible but it is in my view fairly reliable and usually provides the correct outcome, but perhaps you believe there are ways it can be improved given the financial restriction. Sara asks if you have considered becoming a magistrate, who deal with most cases, which I think is worthy of consideration. Do write your letter if you feel strongly over something, try to keep your letter as short as possible and be patient, I think it will be read and you may even get a reply.