Itinerary for October 24

I would appreciate it muchly if anyone could help me plan a itinerary for the upcoming October in Japan.
A couple + a young man at the age of 25.
2.10.24-22.1024 - without flights.
Landing in Osaka (12:00 pm ) and taking off from Tokyo.
I would appreciate a proposal for itinerary that also combines the Nagasaki Festival (7-10.10) and the Nikko Festival (17.10) and Kyoto, Takayama, Hakone, Tokyo. Thanks

October 2024
We want your plan
How much your budget
Do u prefer JR nationwide pass or1 wayticket

Hi
2-22.10 ( not including flights) 21 days
Our budget: Average
Places we want to visit : Osaka-Hiroshima - Kyoto - Takayama ( 9.10 -festival) - Kansawa- Hakone- Tokyo- Nikko (16-17.10 )- Tokyo - flight home
I need help to plan the itinerary
How many nights in every place?
Is it worth it to travel to Hiroshima for the festival?
We will combine trains and a car ( for the alp section) - Where should we pick it and drop it ?
Hakone - 2 nights - after the alp or from Tokyo ?

21 Days in Japan
Day 1 to Day 7: Land in kansai intl airport.Buy Hokuriku arch pass 7 day:24500,cover kansai osaka kyoto kanazawa tokyo narita airport
Day 8, 9, 10: hakone(From Tokyo)
Buy odakyu rail 1 dayunlimited pass:2000yen
Day 11, 12, 13: nikko
Buy nikko free pass by tobu railway

You�fll get better advise if you provide a draft itinerary. And some comments on your interests
Also per the current places listed I don�ft see why you would need a car, but you may not have listed more remote places you also want to visit.