Hi there!
I think your order is looking pretty good!
As a 7 day JR Pass is ¥28,300, you need to spend more than that on JR tickets to make purchasing one worthwhile. Based on your itinerary, here are your costs:
- Tokyo > Nikko: ¥5230, (121mins, 150km)
- Nikko > Tokyo: ¥5230, (117mins, 150km)
- Tokyo > Kamakura: ¥1700, (48mins, 51km)
- Kamakura > Kyoto: ¥12070, (185mins, 471km)
- Kyoto > Nara: ¥690, (45mins, 41km)
- Nara > Kyoto: ¥690, (44mins, 41km)
- Kyoto > Tokyo: ¥13020, (161mins, 513km)
TOTAL: ¥38630 for 7 legs
As you can see, you'll make savings of ¥10,330 with a 7 day Japan Rail Pass so I can certainly recommend this option for your trip.
Please note that the trip from Tokyo to Haneda is around ¥800 each way, so you could also include this in your costs if you manage to fit your whole trip into 7 days.
Hope this helps!