A 7-day Japan Rail Pass is unlikely to save greatly your cost,
unless you visit many places scattered in Tokyo
or you add a trip which is made (mainly) by JR
(to Hiroshima + Miyajima for example).
To get an Exchange Order for a 7-day Japan Rail Pass,
you pay not only 29110 yen on the pass but also a handling fee,
both in your currency.
Gate machines do not process Japan Rail Passes;
you have to show your pass at a manned gate
every time you enter or exit the JR railway network.
Some major sightseeing spots
are not accessible by JR or can be better accessed by a non-JR line.
this December for 11 days. When in December will you travel?
Until the 27th,
you probably can secure your seats even without reservation
in Tokaido Shinkansen trains.
JTB now offers to foreign visitors some packages
of a Shinkansen discount coupon
for your round-trip rides without seat reservation
from Tokyo to Kyoto | Shin-Osaka
+ a one-day Kyoto | Osaka traveling pass.
: Kyoto version
https://www.japanican.com/en/tour/detail/PAS1J02031MKC/ : Osaka version
https://www.japanican.com/en/tour/detail/PAS1J02131MKC/ If you get back to Tokyo during the year-end days from the 28th,
it may be better to reserve your seats in a Shinkansen train.
[JR regular cost for the major legs]
When you go also to Nara,
a round-trip discount (10 percent) is applied to the JR basic fares
to travel from Tokyo and back.
27660 to 28460 yen
: 17280 yen as the JR basic fares
to travel from Tokyo (Ward Area) via Kyoto, Shin-Osaka and Osaka
to Nara and back to Tokyo within 10 calendar days.
: 5190 to 5590 yen as the Shinkansen Hikari surcharge
for your ride from Tokyo or Shinagawa to Shin-Osaka
with your seat reserved.
: 5190 to 5590 yen as the Shinkansen Hikari surcharge
for your ride from Kyoto to Shinagawa or Tokyo
with your seat reserved.
For your Shinkansen train ride,
you can pay 310 yen more and take a Nozomi train,
which Japan Rail Pass travelers are not allowed to choose.