Help Hakone Trip

Hello,
My friends and I are renting a JDM on 23 August and we want to go to Hakone. We're renting near Hanada airport and so I wanted to know if you know how much it will cost for the toll.
Is there likely to be a lot of traffic jams if we go around 11 in the morning (the minimum time we can go after picking up the car), is this feasible as a day trip? We want to get back to Tokyo in the evening to enjoy the car.
Also, do you know of any other places that might be worthwhile, ideally in or near Tokyo?
Thank you very much.

by Massive_West655