Re: Looking for a nickname
Zeke would be an unfortunate nickname in Dutch/Flemish :P
Chiel would be the obvious choice with your spelling. Michiel "Chiel" is common enough for Ezechiel "Chiel" to work as well. Though it does depend on your pronunciation.
I could so Ezio working, even though it has nothing to do with Ezechiel. Ezzy, Eli or Zee might work too.