As other posters, officer was extremely rude to me too.
Irrelevant. Contrary to popular belief, law enforcement personnel are not required to be deferential to those they stop.

I was only speeding for a short time because it was my exit and there was a guy on the left lane with the lights HIGH and I couldn't stand it.
Also irrelevant.

The issue here is that I live in Chicago and I will not be able to attend court on 10/16.
Unless your funeral is that day, or you're going to be in the hospital for a kidney transplant, you need to get yourself back to NH for court. Alternatively, you can check with a New Hampshire attorney to determine if it is permissible for an attorney to appear in your place.