The delayed triggered ability will trigger if a creature dealt damage by Ghired's Belligerence dies for any reason this turn, not just due to lethal damage.

You choose how the damage will be divided as you cast Ghired's Belligerence. Each target creature must be assigned at least 1 damage.

If a target creature becomes an illegal target in response to Ghired's Belligerence, the damage that would have been dealt to that creature is lost. It can't be dealt instead to another legal target.

If you choose to copy a creature token that's a copy of another creature, the new creature token will copy the characteristics of whatever the original token is copying.

If you control no creature tokens when you populate, nothing will happen.

The new creature token copies the characteristics of the original token as stated by the effect that created the original token.

Populate doesn't target the creature token you're copying. You choose that creature token as you're taking the populate action. You can choose any creature token you control. If a spell or ability causes you to create a creature token and then instructs you to populate, you may choose to copy the token you just created, or you may choose to copy another creature token you control.

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 noncopy effects that have changed its power, toughness, color, and so on.

Any enters-the-battlefield abilities of the copied token will trigger when the new token enters the battlefield. Any "as [this creature] enters the battlefield" or "[this creature] enters the battlefield with" abilities of the copied token will also work.