Explore Hakone by car

I will be renting a car at Hakone-Yumoto Railway Station and will be staying in Hakone for 2 nights in November.

Any suggestions on how to explore Hakone by car?
Should I follow the Hakone round trip itinerary?
Also, is parking in Hakone easily available?

The key highlights that I really want to visit are:
Owakudani - can we still go up and experience the volcano and eat black eggs?
Lake Ashi and take pirate ship - is the ship round trip? Because we will drive and park our car to take ship.

Car parking everywhere.

I considering the things you wanna do. I fail to see why you need to do it by car.

Hi, as my ryokan is out of the way and my travelling group is large and consist of babies, thus we are renting a car. If I am staying near any stops or if I am not travelling with babies, I would have taken the Hakone Pass without second thought.

Yes, most areas have some parking, but a car is still a bit of a pain if you are doing things like the Lake Asahi boat and ropeway (because you have to back-track.)

How obscure a location is your ryokan?