Towards the end of the film when the 'dead' baby is shown, one can see that it is not actually dead. The baby's chest expands and contracts, easily spotted in slow motion playback, which indicates it is very much alive.
In the sequence where the mountain goat falls to its death, a puff of smoke can be seen on the side of the screen. This is from a gunshot by a crew member, who shot the goat so that it would fall and be filmed as if it 'accidentally' fell off of the mountain.