Day Trips from Osaka - Kyoto, Hiroshima, Nara

Hello,

I just purchased a JRP for our upcoming trip Japan. We will be staying in Osaka and Tokyo (arriving via Kansai, leaving via Haneda). I am a little confused about our best possible travel routes using the JRP and am hoping someone can kindly assist. In Osaka we are staying in the Umeda area. From here, can someone kindly recommend best travel routes for the following. We will be forever grateful!

Osaka to Kyoto:
- Arashiyama Bamboo Forest - Golden Pavilion - Fushimi Inari Taisha - Back to Umeda, Osaka

Osaka to Nara:
- Day trip to see the deers in Nara Park

Osaka to Hiroshima and Miyajima (whichever order is best)
- Hiroshima Peace Memorial Museum - Hiroshima Castle - Itsukushima Shrine

Osaka to Tokyo overnight trip

Thank you very much!