Agate Instigator

The token copies exactly what was printed on the original creature and nothing else, except it's a 1/1 (unless that creature is copying something else; see below). It doesn't copy whether that creature 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 types, color, or so on.

You can pay an offspring cost only once as you cast a spell with offspring. You can't try to pay it multiple times to get more token copies.

If the spell resolves but the creature with offspring leaves the battlefield before the offspring ability resolves, you'll still create a token copy of it.