8days Japan trip

Hi guys, I will be in Japan for 8days trip in Mid May.
My itinerary is as follow:

Day 1: Arrival Narita 6pm
Day 2: Tokyo
Day 3: Tokyo
Day 4: Mt Fuji
Day 5: Osaka
Day 6: Universal Studios
Day 7: Nara/ Osaka
Day 8: Back to Tokyo Departure at 7.55pm

will it be worthwhile to have 7days JR pass?
Any changes in my itinerary to make it better?