I have a 2016 Z51 convertible. Has anyone had problems with fuel pumps or fuel rails on a similar vehicle

 

Welcome to the forum.

Might offer some details about the problems you're experiencing. One of the first things I would do would be to run a couple of cans of Chevron fuel injection cleaner with Techron thru it. Another thing is to check the fuel pressure and also to see if it holds the pressure after the engine is turned off.