Dominate has a lot of questions that just seem like they should be disallowed from the rules even though they're not:
By the rules:
- You can make a Dominated creature move into Hindering Terrain without a save. The save applies only to push, pull, and slide.
- A dominated creature provokes opportunity attacks by it's movement for the same reason
- A dominated creature, if given two turns, can pull anything out of his pack and throw it into a pit of lava or over a cliff is one is available.
- A dominated creature can intimidate another creature into surrendering if it's bloody.
And another thing is that by the rules, it doesn't say who counts as 'enemy' and 'ally' to a dominated creature, which matters in cases like "Each enemy in burst"