score:7
I'll buy a Japan Rail Pass, but I didn't understand if I can use it on nearby subway stations such as Ningyocho, Kodenmacho and others. Is it possible?
No. These are part of the Tokyo Metro, which is not operated by JR, and thus the JR pass is not valid there.
The nearest JR station is Shin-Nihombashi on the Sōbu line, but it's a commuter line that goes only one stop into Tokyo to Toyko main station, where you could change to urban Chūō or Yamanote lines. The Yamanote line itself has the Kanda station a bit further, but that's already a significant walking distance.
is it possible to visit typical tourist places in Tokyo using the JR Pass?
There are some JR lines that are useful within Tokyo, namely the Yamanote and Chūō, and together they cover many of the main tourist attractions, at least if you're prepared to walk a bit. But you'll often take a lot longer than if you were willing to freely use all public transportation via the Suica card.
Another factor is that with the JR pass, you cannot use the normal entry/exit gates - you have to find one where there's a JR employee and show it to them (or climb over the gates and look like a criminal).
So basically, relying only on a JR pass within Tokyo is possible but very inconvenient. Of course you can still use it to save some money when there's a good connection to your target through a JR line, but that would be the case far more often if you chose a hotel near a JR station.
Upvote:4
Depending on how much traveling you do, you may find subway day-passes useful. There are two subway companies (Tokyo Metro with 9 lines and Toei with 4 lines) so be aware that that you can buy a day-pass for just one company, but that might be quite a handicap if the stop you want to go to is on other company's line.
I'd recommend checking out the day-pass that's valid on both companies for ¥1000. It is available at all the ticket vending machines on both companies' lines.
Alternatively, there's a JR + subway combination ticket for ¥1580. Be aware that it works on JR lines in the Tokyo ward only, so it wouldn't be useful if you wanted to do a longer day-trip to Kamakura, for example. It also works on the city buses, but I don't have much experience with those so I can't comment on how useful they'll be.
The Suica card recommended in the other answer is also valid on the subways, but it is just a touchless prepaid electronic farecard, so you'll still pay for individual tickets. It just saves you the trouble of buying one each time you get on public transit. If you ride JR, subway, etc., enough in one day, the day-pass may save you more money. However, be aware that there are other private lines they won't work on (the private suburban lines, yurikamome to Odaiba area, etc.)