To defeat the first boss battle you can stay on the balcony and jump when he runs at you, when he runs to your side of the screen and back he pulls a laser and shoot the balcony, so when he makes it back to the right side of the screen then get down, then he will stop for a second and shoot the bottom of the screen to jump to the balcony when is done shooting the balcony! Then he is going to run around again, shoot him when he is shooting the laser up top.