JPN R.P for this 1 week trip

Is it worth me getting a JPN rail.

I am in JPN for 3 weeks but I am landing in Osaka on the 3rd, going to Kyoto on the 5th and then to Tokoyo on the 10th.

Will the JPN R.P allow me travel to all 3 cities and will it be cheaper then just buying individual tickets to those places.

You mean you'll arrive in KIX (Osaka) and depart from Narita (Tokyo)? Then I don't think JR pass will pay off.

7-day pass : 28300yen
http://www.japanrailpass.net/eng/en003.html
Osaka-Tokyo by shinkansen:
13950-14250 yen

If you fly into Osaka KIX and out of Tokyo NRT, purchasing a JR Pass makes no sense.

-KIX to Osaka proper by bus: 880 to 1,300 yen
http://www.kansai-airport.or.jp/en/access/bus/index.html

-By train (Nankai) to Namba: Limited express 'rapi:t'; 1,390 yen, express; 890 yen

-Osaka to Kyoto by train:
JR: 540 yen
Hankyu: 390 yen

-Kyoto to Tokyo by Shinkansen:
13,220 yen on Hikari, 300 yen more on Nozomi

-Tokyo to Narita by train:
JR: 2,940 yen on Narita Express
Keisei: 1,920 yen on Skyliner, 1,000 yen on limited express

By the way, if you intend to travel between Kansai Airport and Shin-Osaka or Kyoto by JR limited express Haruka, purchasing the JR West Kansai one day pass for 2,000 yen is a nice idea. It allows you to take the unreserved section of that train between the segments above. You can purchase as many vouchers as you like before you come to Japan.

http://www.westjr.co.jp/english/travel/jrp/index.html

Breakdown of JR individual tickets just in case you make a round trip:

KIX to Osaka: 2,000 yen (JR West Pass)
Osaka to Kyoto: 540 yen
Kyoto to Tokyo: 13,220 yen
Transport in Tokyo per day: 500 x ? days =
Tokyo to KIX: 15,630 yen

Total: 31,390, as opposed to 28,300 yen pass

You could optimize the pass if you travel to Nikko from Tokyo, or to Hiroshima from Kyoto or Osaka.

going to kyoto by bullet train from osaka and then going to tokyo by bullet train.

unless I dont need to ctach the bullet train

Osaka to Kyoto:
Shinkansen (from Shin-Osaka, 4 minutes away from Osaka Station): 1,380 yen, 14 minutes, 3 times hourly

JR special rapid: 540 yen, 28 minutes duration, every 15 minutes frequency

Hankyu limited express: 390 yen, 44 minutes duration, every 10 minutes frequency

Shinkansen faretable: http://gutereise09.blogspot.com/2008/08/tokaido-sanyo-shinka...

I am flying out from Tokyo and not KIX