52 in a 30 zone for a first offender pleading not guilty; band b fine with range for points of 7-56 days disqualification OR 6 points. Where was the offence? Near a school or pedestrians is an aggregating factor. A genuine emergency is mitigating. Consider a reduction for a guilty plea.
I’d plead guilty and take the six points if it was a genuine mistake and first offence. If you are a serial offender, expect a ban. A band b fine is a weeks relevant income.
My wife, who’s sentencing guidelines these are taken from, is not a fan of lawyers seeking technicalities. But every bench is different. I don’t think you need a solicitor to represent you, but you should decide what to plead.