How does Crown of Stars interact with Greater Invisibility?

Suppose I already have the spell Greater Invisibility cast on me, and then I cast Crown of Stars.

From the description of Crown of Stars:

Seven star-like motes of light appear and orbit your head until the spell ends.

My questions are: Are the motes invisible?

Supposing the motes are visible, do I still get the benefits of Greater Invisibility?

Again, supposing the motes are visible, "real-world" logic would tell me that if someone were to try to attack me, the difficulty of trying to hit an invisible person would be somewhat mitigated by the fact that I could just aim at the motes. Similar logic seems reasonable for someone targeting me with a spell.

However, (my reading of) the in-game mechanics would tell me that I am still under the invisible condition (as nothing has ended Greater Invisibility) and thus I should still get all the benefits.