Mt. Fuji to Hakone

Hello,

Using the Hakone-Fuji Free Pass, I am planning a day trip out to Mt. Fuji and making my way to Hakone to stay the night there. Then I was going to tour around Hakone the next day. I was wondering if this is possible to do.

Day 1
Leave Tokyo by highway bus to Kawaguchiko early in the morning
Tour around Lake Kawaguchiko, possible do the Kachikachi Ropeway and visit Oshino Hakkai (do I use Fujkyu Bus or the Heritage Loop Bus for this?).
Make my way up to Gotemba Premium Outlets and maybe shop/rest a bit via the Fujikyu Bus, then transfer to Hakone Tozan Bus to head to Gora.
Check into hotel in Gora and relax that night.

Day 2
Tour around the Hakone Loop using the Free Pass

Catch Romancecar Train back to Shinjuku in afternoon/early evening.

Thank you,

Yeah possible. Day one is probably a little rushed.