Itinerary for JR pass

Hi! We’ll be leaving for Osaka on July 4, arriving at 6:50pm, and leaving Osaka for Manila on July 11, so that would be 8 days stay in Japan. I plan to buy the 7day jr pass but plan to use it starting July 5. How much is the bullet train from KIX to Osaka (staying t Hotel Keihan Yodoyabashi)? What is the cheapest transportation from KiX to our hotel?
Can I use our JRpass for this itinerary?
July 5 - osaka to tokyo (hundred stay tokyo shinjuku hotel) July 6 - hundred stay tokyo shinjuku hotel to disney sea July 7 am - Tokyo to mt fuji July 7pm - mt fuji to osaka July 8 - visit nara July 9 - visit kyoto July 10 - visit Kobe July 11 - hotel keihan yodoyabashi to KIX Thanks!