Your Gotchi Egg isn't hatching because it hasn't been reset yet. Press B, the middle button, and you can either download your old Tama or reset to start a new generation.
No,but there sort of is for hatching eggs
Pokemon with magma armor in team
It depends on the Pokemon you are hatching.
it is for a lil faster egg hatching
use an action replay it will eventually give you a bad egg. I don't recommend it though being as a bad egg hatching will glitch your game.