Link benefits passed down - to other pages on your site?

Do inbound links that point to your home page; pass the benefit down
to other pages on your site? How much, if so?

I have a flash – iframe - poor keyword rich (because of the diversity
of topics) home page that ranks only ok.

But my secondary pages, (some that have links two clicks away from my
home page) ranking great.

I was wondering is this from their simplicity and dense keywords or do
the links pointing to my homepage pass down benefits also and add to
the these plain html pages one or two clicks away from my home page.

Thank you,

Mark