19 days in Japan

We will be in Japan for 19 days. beginning in Tokyo for 4 nights. We plan on traveling to Hakone, Takayama, Kanazawa, Kyoto, Hiroshima, Osaka and then back to Tokyo. We would use the JR Pass from April 6 - April 18; 13 days so it seems the 14 day pass would work for us. But does the pass cover the trains from these locations to each other? In our itinerary these are the trains that seem to meet our needs best. Are they part of the JR Pass?
Chiyoda Line, Odakyu Line, Romancecar, Tokaido-Sanyo Shinkansen, Hida 83 Limited Express Takayama, Hokuriku Shinkansen, Thunderbird, Karasuma Line-Local Kokusaikaikan, Tokaido Shinkansen, Tokaido-Sanyo Line, Keikyū Main LineLimited , Keikyū Airport Line.
Thanks for your clairfication. Diane