Full Update:
With the advice of the forum and my university solicitor I met with the prosecution at around 9.30am, where he met with me and basically gave me advice on what it's like inside of the court room, how to keep calm and stuff. When I asked if there was ANY way of solving this out of court at that point, he told me that Arriva were simply too strict on their contract with TIL to allow for basically any settlement, however he would put a word in for me to the judge/magistrates because he can see how sorry I am and that I have learnt my mistake, he also offered to be a name on my CV if I ended up with a criminal record so that employers (such as the army) would be able to contact him and he would speak in favour of me.
The gentleman I had was absolutely lovely, quite literally couldn't have done more for me. When we entered the court room I pleaded guilty to the legal clerk, and then the gentleman read out the evidence and then spoke in favour of me, the most important part being about how I was very worried how a criminal record would possibly damage my potential commissioning into the army. The judge (one male judge not 3 magistrates, lucky me?) then asked me about said commission, when it would be etc and then asked why I did it. My general reply to why was that the mitigation I had put forward was before and during the train journey, they don't warrant my actions and I can't explain why I made such a stupid mistake, it was very out of character and I usually see myself as somebody with good morals and I haven't been in trouble with the court before.
The judge then make a quick decision in which he said it was conditionally discharged (basically no criminal record but still have to pay costs + if I get into trouble in the next three years this will be brought up) as-well as reducing the admin fees from 145 to 100, with a £20 victim surcharge. He wished me luck with my future and the army and sent me on my way.
I left a message with the usher to tell the prosecution how thankful I was for all the advice. The judge, prosecution, legal clerk, usher and even security at the door were all incredibly nice and if it wasn't for what I was potentially going to receive, I would've said I have enjoyed/valued the experience.
These last 3 months have been a hard lesson learnt, and I still to this day regret my stupid action.
Again thanks everyone for the advice I have received here, if it wasn't for you i'm 99% sure I would have a criminal record today.