You must pay all costs and follow all normal timing rules for cards played this way. For example, you may play lands this way only during your main phase while no spells or abilities are on the stack and only if you haven't played a land yet this turn.

Casualty N means “As an additional cost to cast this spell, you may sacrifice a creature with power N or greater.” and “When you cast this spell, if a casualty cost was paid for it, copy it. If the spell has any targets, you may choose new targets for the copy.”

You may sacrifice only one creature to pay a spell's casualty cost, and you copy the spell only once.

If you pay the casualty cost of a spell, the copy will resolve before the original spell.

The copy of the spell is created on the stack, so it's not “cast.” Abilities that trigger when a player casts a spell won't trigger.