Speeding ticket help

So I got a speeding ticket... my first one ever! I was driving on a highway and drove it soo many times before and never knew the road went from 65 to 55 then 60. I was doing 67 in the 55 but the 60’sign was right in front me. But at the same time it was early morning and no other cars around me. Now I have the speed warning on my car and legit everyone is flying past me🙄 I know I was going faster than I was supposed to and it’s not a valid excuse but I was up all night the night before working and doing school stuff woke up super early to clean my apartment and was driving 1.5 hours to get my boyfriend from the airport which I was already late for. I have $130 ticket and 4 points now. I think I am going to go to court and try to get the points taken off. Mainly since I am in grad school and my parents pay my insurance and I feel so bad if it goes up. Worse case is I have to go to a class in person for 8 hours but at least I tried. I work but can only do 10 hours a week and that pays my gas, groceries and school expenses. I have loan money for expenses that I can’t cover so will need to use that for the ticket. I haven’t told my parents yet since I want to tell them after I know if I can get the points lowered. Any advice from someone who has done this before? Since honestly the cop made me feel like a horrible person when i never have down anything wrong