Answer:
My second is performed by my first, and it is thought a thief by the marks of my whole might be caught.
What is neither inside the house nor outside the house but a necessity for any home?
A precious stone, as clear as diamond. Seek it out while the sun's near the horizon. Though you can walk on water with its power, try to keep it, and it'll vanish in an hour.
Whoever makes it, tells it not. Whoever takes it, knows it not. Whoever knows it, wants it not
It's anything but amusing when this body part gets hit.
This food is a tortilla filled with cheese and sometimes chicken before being heated or cooked.