not finding updates to the XKR 5.0L engine with supercharger over the years from 2011... The main issues that may have updates/revisions that I am referring to are the timing chain tensioners, the cooling Y shape pipe at the top of the motor, any fuel pump or water pump issue...
Found info on the 2013 had fixes to the timing change tensioners and the Y cooling pipe at the top of the engine...Not that one source is enough to validate that this was the case...or what month these updates were in production...
any help would be appreciated...

 

There are a ton of threads in here on all of the topics you mentioned.