Hakone Loop – can I only do half of it?

I am going to take a day trip to Hakone and plan to do the loop before ending our day at Hakone Yuryo for a couple hours of relaxation and the head back to Tokyo.

My question is this – there are only certain things l'd like to do on the loop. I only want to do the cable car, black eggs @ owakudani, lake ashi, Hakone shrine.

It is realistically possible to do this and how much time do you think it will take? I'm hoping to leave Tokyo at 10AM and end the loop around 4PM.

Tips are much appreciated!