If a spell or ability causes you to put cards into your hand without specifically using the word "draw," The Locust God's first triggered ability won't trigger.

If this creature dies but leaves your graveyard before the next end step, it will remain in its new zone.

The "next end step" refers to the next end step that occurs, not the end step of the next turn. If this creature dies before a turn's end step (for example, during combat), it will be returned to its owner's hand at the beginning of that turn's end step.