1.: If he's never done the "making food for a large group of people" is something that he hasn't done before, then he can get the echo.
3.: "If he's hit by a car, it does not kill him on impact, but the healing rate is still normal" aka "inability to die no matter how great the injury" would be an option! (We've had various ways of staggering immortality, but generally we require that it is in one way or the other staggered.) Does that work? He can get a greater healing rate with his next echo, obviously, assuming that he has that in canon.
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3.: "If he's hit by a car, it does not kill him on impact, but the healing rate is still normal" aka "inability to die no matter how great the injury" would be an option! (We've had various ways of staggering immortality, but generally we require that it is in one way or the other staggered.) Does that work? He can get a greater healing rate with his next echo, obviously, assuming that he has that in canon.