It is rather wordy, repetitive and contains information not really relevant to the matter.
If you look at the advice
@Hadders gives in other threads, as well as the where when and what happened the reply only requires one or two sentences to cover each of the four main points listed.
- That you are sorry for what has happened
- What you have learned from the incident
- That you are keen to settle the matter without the need for court action
- Offer to pay the outstanding fare and the train company's administrative costs in dealing with the matter
Obviously it must sound sincere (and being too brief makes it sound insincere) but the person reading your email will want to get to the heart of the matter as quickly as possible.