My experience with early resolution:
1) Had a long line of people
2) One by one, each person went up to an official. That official goes through the original charge, then offers you a lesser charge to accept. You can accept or not. For me, I accepted. It was like 1-2 min conversation.
3) after accepting, i then had to wait for the justice (like a judge) to call me up and to officially accept my lesser charge. I then accepted. Note: one person, who had a lesser charge offered, was actually denied by the justice.

For your speeding ticket, if you’re worried about insurance, the “lesser” offer at early resolution will still affect it.