To be honest, I feel the president in this is a bit more developed than the main characters. At first, it seemed strange to me that we didn't explore "why" the moon was destroyed and we were all doomed, but upon retrospect, it makes sense that the reason doesn't matter; when you're about to die, only the most important things matter.
When the characters are looking for each other to spend their last moments together, perhaps some sepiatone flashbacks to events from their past as they're going to meet would help build that relationship more, like the first time they met, a fight where one left for a bit and the other was afraid they had lost them forever, a mundane moment that suddenly takes on much more meaning... just something to help us get to know the characters a bit more and become more invested.
ironically, your entry reminds me a little of my final two-day entry from last year's jam, Replay Video š