7 day trip - Tokyo - Mt Fuji - Kyoto

Hi,

I'm travelling to Japan in October and I'd like to do the following trip but I'm not sure the JR pass is my best option or value for money.

Fly into Haneda - monorail into Tokyo (can not use JR Pass)

A couple of days in Tokyo

On to Mt Fuji particularly the Five Lakes area, possibly Kawaguchi-ko, for one day/ one night. Open to suggestions if anyone has any.

Then on to Kyoto for a couple of days

Then Kyoto to Kansai Airport.

I'd like to go Tokyo, Mt Fuji, Kyoto without having to go back to Tokyo from Mt Fuji to get to Kyoto if possible

If the Mount Fuji element is not possible on JR pass then I think for Tokyo to Kyoto and Kyoto to Kansai the JR pass is not worth it.

Thanks