Hi, want some suggestion or comments on a portion of my trip. I intend to go Hakone/Kawaguchiko area this Sunday and my plan is to purchase the Fuji Hakone Free Pass.

Sunday -
Morning - travel from Shinjuku to Hakone via Odawara
I intend to follow the Round Course recommended on japan-guide.com before checking into a hostel.


Monday
Go to Lake Saiko in the morning and look look see see. Specific places include Ice Cave, Wind Cave and Aokigahara
Check into a hostel at Kawaguchiko.

Tuesday,
Look around Kawaguchiko and Yamanakako before heading back to Odawara to take train back to Shinjuku

Does anyone know how long would it take to go to Saiko from Hakone?
Wondering if I have time to stop by Gotemba either before going to Saiko or on my way back to Odawara.