Applying elsewhere

I tried to move to a company that would at least offer me time at home on weekends.
I tried three applications. Went to an orientation, cut on the second day from a flatbed company.
But on the way back to my old employer 1100 miles west, I noticed a medium sized truck yard. I called the recruiter. They dont have openings now, but the recruiter mentioned that my DAC ? report didnt list my trucking employment with the one I left in early August after completing a year long lease. I had 3 months of company driving time as well.
But a question bugs me, I have 4 preventable but not DOT reportable accidents and I wasnt fired for them: trailer stuck in a ditch, Mar 2015, trailer door fell off while parking in a lot, I should have closed the door, scraping my groundguides fender with my trailer, and lastly scraping a mirror and causing $850 in damage.- Ive paid for every bit of damage, or tows. Do I put these on an application? I have about 140000 plus miles and had my best month in July. Just fishing for feedback from someone who knows more about this industry than my novice 18 months can handle.
The lack of any thing on my DAC and whether or not reporting non DOT reportable accidents is a good idea?

 

Schneider didnt want to interview me because what I said above is considered 4 preventable accidents.
Smaller company that Im checking into seems more flexible.

 

Im starting to get the same conclusion. As the last two replies show.