Homunculus Horde

The token doesn't copy whether Homunculus Horde is tapped or untapped, whether it has any counters on it or Auras attached to it, or any non-copy effects that have changed its power, toughness, types, color, and so on.

Homunculus Horde doesn't need to have been under your control when the first card is drawn for its ability to trigger. As long as you control it when you draw your second card in a turn, that ability will trigger.

In the unusual case where Homunculus Horde becomes a copy of something else while its triggered ability is on the stack but before it resolves, the token will enter as a copy of whatever Homunculus Horde is copying. (Sometimes a horde of homunculi isn't helpful.)