Archmage of Echoes

Creature — Faerie Wizard

Flying, ward

Whenever you cast a Faerie or Wizard permanent spell, copy it. (The copy becomes a token.)

A resolving copy of a permanent spell becomes a token, so the token isn't "created." Effects that care about a token being created won't interact with a token that enters the battlefield from Archmage of Echoes's ability.
The copy remembers any decisions that were made for the original spell as it was cast, including values chosen for X in its mana cost and whether any alternative or additional costs were chosen. For example, if the original creature spell had kicker and its kicker cost was paid, the copy will also be kicked.