Itinerary check (Tokyo, Takayama, Kyoto and Osaka) 15 days in October

Hello all,
This is our first time in Japan and I created this itinerary based on what I saw online, Please share your overall opinion of it based on your experience and tell me if there are any recommendations or changes. (We are arriving at Tokyo and departing from Osaka, other than that, things are mostly flexible)
Thanks a lot.

1-6/10 Tokyo:

1- getting over the jet lag, Ginza and Roppongi
(We are staying in Ginza)

2- senso ji, Ueno and Akihabara

3- Harajuku & Shinjuku

4- Day trip to Mt.Fuji

5- Tsukiji, Teamlab, shibuya

6-8/10 Takayama

8-12/10 Kyoto:

8- Nijo, Nishiki, Walking around Gion

9- Fushimi Inari and Tufuku Ji and shopping

10- Arashiyama, Scenic railway, Kinkaku ji,
Kiyamachi dori

11- Shorenin, Maruyama,Yasaka, Kodaiji,
Ishibekoji, Ninnenzaka, Sannenzaka, Kiyomizu-dera,

12-16/10: Osaka

12- Osaka Castle, Umeda area

13- Namba Yasaka, Shinsaibashisuji, Sennichimae,
Kuromon, Shin Sekai, Dotonbori.

14- Nara

15- Universal Studios

16- Flying Home