Light reflecting off Christmas-tree balls

I took a pane of clear glass

and touched two balls at once

I put my light, perhaps, by chance,

above the pane. Alas,

the shining pile on the same side

in its arrangement lay,

and no matter what I tried

(I tried a whole day)

Some darkness (though not too much)

remained around points of touch...

Can't add to the comments (insufficient reputation yet) - I do like the problem and the poetic insight a lot. But here is another less poetic insight.

Q2 can be reversed to look at whether a light at any point $b \in H^-$ will illuminate every point sufficiently distant from it. This seems intuitively more tractable.