Except for the listed exceptions, the token created by Lazotep Quarry's last ability copies exactly what was printed on the original card and nothing else. It doesn't copy any information about the object that card was before it was put into your graveyard.

The token is a Zombie instead of its other creature types, and it's black instead of its other colors. These are copiable values of the token that other effects may copy.

If the copied card has {X} in its mana cost, {X} is 0.

If a card copied by the token had any "when [this creature] enters the battlefield" abilities, the token also has those abilities and will trigger them when it's created. Similarly, any "as [this creature] enters the battlefield" or "[this creature] enters the battlefield with" abilities that the token has copied will also work.