Tokyo Osaka Mt Fuji - 7 day JR PAss

hi,

I am arriving at NArita Airport Jan 22 with my 2 sons, both above 35yo.

We wish to cover Tokyo mostly but do side trip to Osaka Universal Studio. I would like to add Mt Fuji on the weekend.
Here's my tentative itinerary.
Jan 22 - Tokyo to Osaka
JAn 22- Jan25 - Osaka / Nara
JAn25- Jan 27 Tokyo Gala Snow PArk ( first time experience)
Jan 27-JAn 28 Mt Fuji weekend. winter illumination.
Jan 28- Feb 4 Tokyo

I was first looking at going to Mt Fuji after Osaka. But route looks complicated. Is it really easier to go to Mt Fuji from Tokyo? Is the Fuji Excursion i read somewhere included in the JRPAss?
What other JR destinations can we go to while in Osaka? We would prefer snow park destinations. Is the Gala Snow PArk included in the JRPass?

I would greatly appreciate your advice :)