You're going to need to do more research on your plans. First though, familiarize yourself with Hyperdia to look up rail fares, schedules, transfers, etc.
http://www.hyperdia.comUnless you add more, you are not going to make a rail pass pay off. Also I think you are thinking of taking the Tateyama Alpine route - that is not from Matsumoto.
https://www.japan-guide.com/e/e7550.htmlThe Tateyama Kurobe Option Ticket for 9000 yen can be good for that. Your Days 6, 13 & 14 are not well defined - it does not take all day to pack up your things, nor a whole day to check into your hotel. You do spend some good time in Kanazawa. No matter what, you should not miss the Kenrokuen Garden - it is one of the very best in the country.
https://youtu.be/riB-vzWNKLMYou might consider spending a day to see Shirakawago, or going into the Noto Peninsula for some hot springs.
For your time in Kyoto, you do need to flesh things out more. The Bamboo Grove will take you 20-30 minutes or so. But the Arashiyama area has a lot to see and explore.
https://goo.gl/NeiowdAnd definitely make time for Nara. It has some of Japan's top sights, especially the Todaiji Temple.
http://bit.ly/1Rhxg0EYou could also take half a day and see Himeji if you like - it has the country's best surviving castle and the Kokoen Garden nearby is excellent. Get the combo ticket and one place is nearly free.
https://goo.gl/65ZtRiAnd especially for your daughters, if you still have the energy in the evening, you can also go to Osaka when the city really comes alive. Dotonbori is great and be sure to try the octopus dumplings (takoyaki).
http://goo.gl/XE5R94Weather will be extremely muggy and humid - prepare to sweat like a pig. Kyoto sits in a basin so it is especially hard - make sure you drink enough water and don't forget the antiperspirant - not to mention enough sunblock.
To get around Kansai as well as to KIX, you might consider getting the Icoca & Haruka discount ticket.
https://www.japan-guide.com/e/e2359_icoca_haruka.htmlOr if you choose to go to Himeji, as well as KIX, the Kansai Area Pass can be good too.
https://www.japan-guide.com/e/e2361_03.html