Dingbat35, you have been given a lot of good advice by fellow ABers.
But there is something you said that I can't get my head round.
You said, 'I did not see the green to amber transition, so initially braked, and then accelerated'.
Surely if you did not see the green to amber transition you were not giving the road your full attention. You should have seen the lights, and if you intend to appeal, and then volunteer this information, I don't think you will be very successful.
Also, if you admit that you started to brake and then accelerated, you won't win many friends in court.
Obviously I don't know the road or the circumstances at the time you were caught, but I think you know that deep down you are in the wrong and really it's your pride that is hurt, and now your trying to dig your way out of a hole.
You came on AB asking for advice, so I'm sorry if this is what you didn't want to hear. I think everyone at some point has done something we shouldn't have done, especially on the road, and I don't want you to think this is a 'holier than though' type of letter. Best wishes