Per the PHB, you are only ever allowed One Point of Inspiration at a time, you can't like Stockpile it. I don't believe I gave you folks Inspiration to start, so consider this the first bit of it.
The Wand can be checked out to see what it is or is not, of course.
And yes, the Thugs that Lucien shattered as well as the mage that Arcata missiled are all unconscious, and therefore still alive.
Though perhaps your enemies did not realize that >.>