You were ticketed because, in the opinion of the person ticketing you, your unsafe lane change was the underlying cause of the car accident.  It was believed that the other driver struck you because you recklessly cut them off.  Does the video show that in fact you did not make a lane change?

Additionally, you seem to have only referred in passing to an injury occurring as a result of this accident.  Because you are not ranting about you injury, I can only conclude that someone else was injured.  Depending on the extent of that party's injury, the new DA could conclude that the previous one was too lenient.