If you are willing to spend a few hours on court, you may choose the option of not guilty.  A court date will be set for you.  At the court, you will have a chance to talk to a clerk before you see the judge.  You can give the clerk your explanations of your mistake.  You will be given two options by the clerk: pay a lower fee with three points deduction or a higher fee with no points deduction.  In either case, the fee will be less than $144.  Good luck.