I'm pretty sure the answer would be: If the person is upright, carefully ease the person to the floor. this is of course after calling 911, followed by looking for the object lodged in the persons throat.
Medulla which is also part of the brain stem so your answer is brain stem :D<span />
You could survive days without water.
The maximum amount of days you can survive without water is 10 days.
It is possible to last longer than a few days, but without hours of you not drinking you start becoming dehydrated.
I hope this helps!
Have a wonderful day!
-LizzyIsTheQueen