Do prior non preventable accidents you have been in prior to obtaining your CDL effect your chances of getting a job?

by JD
(California)

I was in three accidents in 2007, all not my fault--I have police reports which can verify this--one was a rear end accident, one was when a lady ran a red light and hit me, and the third was when a man tried to pass me while I was completing a legal u-turn and hit my rear bumper--the guy was given a citation. All these accidents are showing up on my California MVR, but no points were assigned and I have the police reports to prove that they were all not my fault.