Impressive for your first jam!
I got to the chess part three times (and lost within 30 seconds at all three attempts). On the first attempt, I assumed that I was supposed to get rid of the king, so I tried going straight for it out of the gate. I think I ended up destroying the king but dying in the process.
On the next two attempts, I tried to remove as many pieces from the board as possible by lasting as long as possible (didn't work either, obviously).