How do count my 7 days JR Rail Pass?

Hi- here's my Itinerary, can you please check if it is valid for my 7 days JR Pass.

Day 1 : Narita-> Osaka
Day 2: Universal Studio (Full Day)
Day 3 & Day 4?: Osaka->Kyoto->Nara->Osaka (Is it advisable to split into two days as I bring along my elder parents n 3 kids for this trip?)
Day 5: Hakone (I will buy two days Hakone passes at the counter)
Day 6 : Hakone
Day 7: Hakone->Tokyo

I just want to double confirm I manage to reach Tokyo on last day of my pass. Thank you so much for ur reply.