7 Oct 2022
The token copies exactly what was printed on the original creature and nothing else (unless that creature is copying something else; see below). It doesn't copy whether that creature was tapped or untapped, whether it had any counters on it or Auras or Equipment attached to it, or any non-copy effects that had changed its power, toughness, types, color, or so on.
7 Oct 2022
If the copied creature was copying something else, then the token enters the battlefield as whatever that creature copied.
7 Oct 2022
Any enters-the-battlefield abilities of the copied creature will trigger when the token enters the battlefield. Any "as [this creature] enters the battlefield" or "[this creature] enters the battlefield with" abilities of the creature will also work.
7 Oct 2022
The token copies the creature as it last existed on the battlefield before it died, not as it exists in the graveyard.
7 Oct 2022
If the copied creature had {X} in its mana cost, X is 0.
7 Oct 2022
If you control more than one Genestealer Patriarch as a creature with an infection counter on it dies, each one's ability will trigger, and you will make two tokens that are copies of it.