30 is for built up areas. Also key is that jaywalking isn’t a thing in Britain. Pedestrians always have right of way and can cross the street at any point so in urban areas motorists must be prepared to stop at any time.
There’s also a 10% grace where prosecutions under that are unusal. But the chances of survival being hit at 38mph are significantly lower than at 30, or even 33.
The ban is for exceeding the penalty points on her licence. She had 9pts before this conviction, and speeding carries 6-8pts which has put her over the 12pt limit, which she accumulated over 3yrs so that’s a 6-month ban.
After 6 months she will need to take her driving test again and reapply for her licence.