I just write: Pad Thai would most likely be acceptable, but Lasagne would be put towards scrutiny.
Frozen Flame: ...It would have to be under very specific circumstances. Such as not only having a Maiden's power, but also using a relic to create an unlimited form of energy, along with another relic to make sure the sheer amount of energy doesn't plow straight to the core of the planet.
Random: The solid eye would be modified to be rechargeable via Aura. Also, as long as the sword isn't the one he ripped off of excelsus then it should be fine. However, don't forget that Raiden gets his slice and dice ability from the cyborg body he gets along with the electrolyte cells. As for the Swords vs Scythes, that is a question for Summer.