I hope nobody has injured in your accident.
I was told by a lawyer careless driving is a charge that isn't that easy to prove. The procecutor will likely bargain down to another less awful conviction if you contact him. You don't need Pointts for that. Just be sure to sound confident and ready to take up a lot of court time disproving the officer's judgement and whatever witness information he gathered. I'll guess the officer wasn't a witness to the events causing the charge meaning he is going on someone's else's information. This is a lot different than having a calibrated radar unit reading saying you were going a certain speed. Also you can sound ready to call in legal help without actually hiring it.