How creepy! https://www.youtube.com/watch?v=BDMmj5WgB8c
But from some very quick research, that version was made for a horror movie. The original version is called "Кошкин дом." I haven't learned all the words yet, but apparently the cat's house is on fire and other animals are rushing around trying to put it out?
Neither one seems appropriate for a child trying to go to sleep. :/
I believe близко is not used when speaking about other objects like: "The tree is close to the house."
Yes, as long as we are talking about locations and positions, около and возле are interchangeable. However, when you say or see около, it could also be "about" or "approximately". I'm not native nor fluent in Russian, so if anyone has a better answer I accept the corrections! I hope this helped you!