Hasn’t John Jay College already given you a financial aid/merit package based on your highest submitted score of 31? Do you know what John Jay College intends to do with your aid?
I think if your wrong answers match someone in the room with you, it does not matter if you know them or not, it looks as though you or the other person copied each other. You don’t need to know someone to cheat with them.
It does seem this scrutiny may be higher after the college admissions scandals and test cheating. I hope you can straighten this out.