Martin is again wrong on getting your money's worth - going Tokyo-Kyoto-Tokyo doesn't quite cover the cost of the pass. Almost, but not quite. Taking the Narita Express would however put you over the top, but more than that, there are numerous good side trips you can take to see more of the country and increase your savings. Near Tokyo there is Nikko, Karuizawa, Izu, Kusatsu, Kamakura/Enoshima, etc.
The OP's question "have a pass to conclude all these rides within 7 days" makes no sense. It's entirely up to you to get on and get off the train within 7 days. A few days in Kyoto is not enough to see all that is there - not even a few weeks in Kyoto would do all that. Nara is another place you should definitely not miss.
https://www.youtube.com/playlist?list=PL7LcPcmoSg-jGyApXWSTIKwkioxuAKwt5
You must get the exchange order before arriving in Japan though. It is IMPOSSIBLE to buy the full JR Pass after arriving in Japan. Any big travel agent that sells tickets to Japan can sell the pass. Better to buy from a well established place and not some fly-by-night outfit you've never heard of.
There is however a better deal. If you only want 7 days, and won't be going beyond or stopping in between, then there are these 2 cheaper deals.
http://www.japanican.com.hk/en/tour/detail/VJOPENTK1/
http://www.japanican.com.hk/en/tour/detail/VJOPENTO1/
You'd need to pay for travel within Kansai, but you can still come out ahead.
And no, you cannot ride the Nozomi trains with the full JR Pass - but most others are no problem like the Sakura. It does add another 20-30 minutes, but not a huge deal. With the japanican tickets you can in fact ride the Nozomi, but there is no advance seat selection.