Should I buy 7 days JR Pass?

This is my itinerary for Mar 18 - 25
Day 1 [3/18]: Arrive in Japan + Shibuya + Shinjuku
• Arrive in Haneda • Travel to Hotel: Shinjuku Prince Hotel (1-30-1 Kabuki-cho, Shinjuku-ku, Tokyo) • Go to Sibuya • Sightseeing within Shinjuku area Day 2 [3/19]: Tokyo
• Sunrise Tours: Dynamic Tokyo (Be at Shinjuku Station East Exit by 7:45am) Possible destinations after tour:
• Sensoji Temple • Rikugien (Garden) • Ueno Park (Garden, Museum, and Zoo) Day 3 [3/20]: Mt. Fuji + Hakone
• Sunrise Tours: 1-Day Mt. Fuji & Hakone via Motorcoach (Be at Keio Plaza South Tower by 9:10am. Take Oedo Line from Shinjuku Station to Tochomae Station then walk to Keio Plaza South Tower) Day 4 [3/21]: Leave Tokyo, Go to Kyoto
• Travel to Hotel: Almont Hotel (26-1 Nishiiwamotocho, Higashikujo, Kyoto) • Eastern Kyoto o Kiyomizudera
o Ginkakuji
o Hagashiyama
o Sanjusangendo
• Kikakuji (Northern Kyoto) Day 5 [3/22]: Kyoto + Nara
• Sunrise Tours: 1-Day Kyoto and Nara (Be at New Miyako Hotel by 8:35am. Take bus or walk for 15mins.) Day 6 [3/23]: Osaka
• Travel to Hotel: Hotel Granvia Osaka (3-1-1 Umeda Kitaku, Osaka) Day 7 [3/24]: Osaka
• Sunrise Tours: 1-Day Osaka Walking Tour (Tour Starts at Hotel Granvia at 10:00am) Day 8 [3/25]: Leave Osaka Japan to Manila