No, you can't catch a Mythical animal with your starting Lasso, you need to upgrade through the game's Lasso tiers first to access rarer, higher-power creatures.

If you sacrifice a pet at the Trait Machine, it's destroyed permanently to pass its Trait onto your chosen primary pet, which is why it's best to only sacrifice pets you don't plan on keeping.

Shiny, Neon, Glass, Rainbow, and Bloodbound are generally considered the strongest Mutations, especially when paired with an animal that already has a strong base income rate.

Yes, you keep the Animals, Lassos, and Mutations included with my purchase, exactly as shown in the listing.