I'm not sure about the pass we will need

Hi,

My name is Tallita and I'll be traveling to Japan for the 1st time in May.

My itinerary is:

Haneda Airport - Tokyo
Tokyo
Tokyo > travel to Kanazawa at night
Kanazawa
Takayama > travel to Nagoya at night
Day trip to Nakasendo Trail > Go to Kyoto at night
Kyoto
Kyoto
Kyoto
Kyoto
Go to Mt Koya in the morning
Mt Koya > Osaka
Day trip to Nara
Osaka
Hiroshima
Miyajima > travel at night to Tokyo
Tokyo (Nikko)
Tokyo (Yokohama)
Tokyo (See Mt Fuji - Hakone or Shizuoka)
Return to Brazil - Haneda Airport

I was thinking about the regional passes (Horiku Arch + The one with Hiroshima)
But I want to travel as fast as I can