Hello, thank you for your question. My name is***** am a barrister and will assist you with this issue today.
Please be aware that this is an e-mail service rather than a live chat. Sometimes there will be some delay between responses but I will try to reply as soon as possible.
Decisions on things like this are made by Magistrates who are basically ordinary folk fro the community who sit and hear many of these cases in a day, one after the other. They hear similar stories all day long (it wasn't my usual car, there were not many cars around/ I didn't appreciate the speed limit at the time). I'm afraid most of what you have outlined does not go down well with Magistrates.
You can say what you have outlined (briefly) but then say that you know these are not excuses and you hold your hands up for making the mistake.
You can see the guidelines here: https://www.sentencingcouncil.org.uk/offences/magistrates-court/item/speeding-revised-2017/.
In my experience for a first offence you'd get 6 points rather than a ban. You will however get quite a hefty fine. A Band C fine is 1.5 times a weeks' wage. You'll get 1/3 off this for pleading guilty at the first opportunity. You will also pay £85 CPS costs and a victim surcharge which is 10% of the fine.
As to whether you will have to go to court or not, it is up to you. If you opt to use the single justice procedure you can just send in a letter asking for points rather than a ban. If they agree they will deal with it without you.
If they look at it and think they want to ban you they will invite you to come into court to discuss in-person at a hearing.
I hope this helps, I'm happy to answer any follow up questions you may have.