If a card or token enters as a copy of a permanent, the new permanent isn't kicked, even if the original was.

If a spell's kicker cost was paid, the spell is "kicked."

If you copy a kicked spell on the stack, the copy is also kicked. If the copied spell is a permanent spell, the token the copy of that spell becomes when it enters is also kicked.

If you put a permanent with a kicker ability onto the battlefield without casting it, you can't kick it.

The kicker ability doesn't let you pay a kicker cost more than once.

To determine a spell's total cost, start with the mana cost (or an alternative cost if another card's effect allows you to pay one instead), add any cost increases (such as kicker), then apply any cost reductions. The spell's mana value remains unchanged, no matter what the total cost to cast it was.

If it was kicked twice, each of Archangel of Wrath's last two abilities will trigger once. In other words, it will deal 2 damage to each of two targets or deal 2 damage to the same target twice.

You may kick Archangel of Wrath only once for its {B} cost and only once for its {R} cost. You can kick it twice by paying {B}{R}, but you can't kick it twice by paying {B}{B} or {R}{R}. You can't kick it more than twice.