This logo will be everywhere: on the sides of vehicles, on our business windows, on business cards, on our website, etc. Please keep this in mind when designing a logo that will need to fit well anywhere. The word "Olympic" in the business name is inspired by the Olympic Mountains in Washington State. So, if there is some way to have a logo that incorporates the Olympic mountains and drivers education then that is what we are aiming for. We are also open to the idea of some sort of character, a mascot of sorts, that can represent our school and be well recognized in the community.
I would also perhaps emphasize the word "Olympic" and place less emphasis on "Driving School".
I have attached the logo of our main competitor, 911 Driving School. We have not yet opened our school but when we do we want our logo to blow theirs out of the water.
I have also attached a screenshot of our simple website thus far (I didn't want to do too much because we don't have a logo yet). But, from this screenshot you can see what the Olympic mountains/rain forrest look like.