35 over is 4 points and MAY be an automatic license suspension for a G2 driver (others can confirm).
If you are considering a plea deal, then you would want it dropped to 29 over which is 3 demerit points, but no suspension.
To see if you have a defense, you will need to get disclosure (officers notes) before you can decide if you have a defense to it or not. Plead Not Guilty and request a trial with the officer present. Once you get your notice of trial, then you can ask for disclosure (copy of officers notes and copy of manual).
+++ This is not legal advice, only my opinion +++