🚀 go-pugleaf

I don't know much about chess, other than who's who and who can move where.
I don't even know if this is the right place to ask this question...
but oh well...
     How is the official way for a king to react:
      - If my pawn moves kitty-corner to opponent's king, I declare check;
        does the king have to move out of the way, or can it take the
        pawn?
      - What if it comes down to only 2 kings left, is it a tie, because
        how can a king take another king?

I would appreciate it if anyone who knows the answer could email me
   back with the answer.  (The answer sure isn't on the back of my box!)

Thanks a lot!

Sincerely,
Stephanie Pastva  (pastva@apollo.umenfa.maine.edu)