Rules
Any "as [this permanent] enters" or "[this permanent] enters with" abilities of the new token will work.
The delayed triggered ability set up by Summon: Good King Mog XII's second and third chapter abilities resolves before the spell that caused it to trigger. It resolves even if that spell is countered or otherwise leaves the stack.
The new token copies the original characteristics of the copied token as stated by the effect that created that token.
The new token doesn't copy whether the original token is tapped or untapped, whether it has any counters on it or Auras and Equipment attached to it, or any non-copy effects that have changed its power, toughness, color, and so on.