It doesn't copy whether that creature is tapped or untapped, whether it has any counters on it or any Auras or Equipment attached to it, or any non-copy effects that have changed its types, color, power and toughness, and so on
The replacement effect from Suplex's first mode will exile the target creature if it would die this turn for any reason, not just due to lethal damage
This card is only an uncommon, but it feels legendary
Yet theres a reason that even her standard card is so highly sought after: her ability allows you to sing a Song, then immediately sing it again, for no cost, from your discard pile
Here are the deck lists for the two starter decks in Ursula's Return