How far back do trucking company insurances base them selves to hire or not?

I live in Los Angeles, Ca. I went to a job interview for a good trucking company on 02/01/2013 and everything whent well until they asked me for my driving record(H6) I just got my CDL-A in 07/2012. The last tickets I got where in 03/2007 & 10/2007 so ite been 5 years since my last ticket. They asked me that they had to check with their insurance because of those infractions so they told me that they would let me know by Wednesday of the following week if it was a go or not. one was an unsafe lane change and the other was making a right turn and not stopping so the camera flashed me. These I know where 1 point infractions each so I had 2 points at the time. I now have a clean record with no points as of 2010 and my question is ****If the points that I had in 2007 are going to affect me to get this job? Has anyone ever had a similar situation to this....Thanks in advance

 

@Noggin...what does that mean?