Are we paying too much for insurance?

First, thank you guys for the help. You guys always try to help and I know this topic depends on a ton of different things.

What jumps into my mind is why I even have to ask the question... I should know the insurance side of things if I'm in the trucking industry but I'm pretty new to it. The company owner basically just went with whoever covered his first couple trucks and stayed with them.

Ship all dry, regular freight in 53ft trailers.
6 local trucks in souther CA
7 long haul trucks CA to NJ and FL
All class 8 trucks
Avg driver experience - 12 yrs
Avg truck value - $50,000
One major accident last year that shouldn't be our fault ($100-125k claim total if found at fault), one other major claim for about $40k 2 and a half yrs ago
Co. about 10 years old (I joined last year ago)
A few of the SMS scores or BASICs went up in late 2014 (around accident date) but have all improved a lot in the past few months, all under the intervention level
Monthly premium per truck - $1,000 (average)
$1 million auto/$100k cargo
Lancer insurance

Is there any info missing? And of course, working on quotes. What insurance companies do you guys recommend? Thank you!

 

I just updated the original post, I forgot to include what coverage.

 

Thanks for the info. Have they been good to you when you do have a claim?

 

I think most if not all trucking insurance policies are 1 year contracts or agreements. Our with Lancer is 1 yr. You can probably shop but can't leave until the agreement is over. And any penalties to leave early might cost more than the savings from leaving. If you read the fine print, let us know!