Osaka-Kyoto-Nara-Osaka-Tokyo

Hi. I need some help and advice. Below is the breakdown of my travels and I would like to know if getting the JR Pass is ideal for my trip? And also I know the JR Pass is only valid for 7 days - so which day should I activate it since I have 8 days of travels in Japan?

Day 1: Reach Kansai Airport, 10AM
Osaka-Kyoto-Umahori

Day 2: Kyoto
Kyoto Station- Saga Arashiyama

Day 3:
Kyoto - Nara - Kyoto

Day 4:
Kyoto-Osaka

Day 5:
Universal Studio Osaka
(Is this the Osaka Loop line under JR?)

Day 6:
Osaka - Tokyo

Day 7:
Tokyo

Day 8:
Tokyo-Narita

Please help me out! Thanks!!