Osaka - Tokyo - Hakone - Nagoya

Hi again Daniel
I've made some itinerary changes and am wanting your advice if getting a JR pass is worth it?

We are arriving in Osaka and staying 3 nights. Then travelling to Tokyo (Shinjuku) for 4 nights. We are then adding 2 nights in Hakone to stay in a ryokan. In Hakone we are probably going to one of the Lakes or thr cable car - so i'm not sure if the Hakone pass is worth it.
Then we travel to Nagoya and leave Japan from Chubu international

Thank you again