Does 1yo baby allowed to ride hakone ropeway?

Couple & 1 yo baby would like to visit Fuji with below itinerary:
Shinjuku - JR to odawara - train to gora -cable car to shouzan - ropeway to togendai - bus to gotemba - bus to shinjuku.

My questions:
- Does 1yo baby allowed to ride hakone ropeway?
- i have JR pass & consider to buy hakone free pass, are all trips covered by HFP?
- is it sufficient time for us to do 1day tour only? What time should we go from shinjuku?

Many thanks for your help

- Does 1yo baby allowed to ride hakone ropeway?
::YES

- i have JR pass & consider to buy hakone free pass, are all trips covered by HFP?
::Hakone Free Pass covers, Hakone-Yumoto sta - Gora(by Hakone Tozan rail), ropeway and cable car. It doesn't cover but to Gotemba and Shinjuku.

- is it sufficient time for us to do 1day tour only? What time should we go from shinjuku?
::You can visit there for one day trip. It depends on you itinerary, it takes about 130 mins between Shinjuku and Hakone by bus or train.

A baby accompanied by a parent basically can ride the Hakone Ropeway.

In the area around the Owakudani crater, some volcanic gas is still observed; please judge carefully whether it would be safe to take your baby there.
- Important notice from Hakone Ropeway
http://www.hakoneropeway.co.jp/foreign/en/info_img/4_pdf.pdf

You need to change gondolas at Owakudani Station on the ropeway; there is no service to connect directly Sounzan and Togendai.