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You really need a wiring diagram to diagnose that sort of issue rather than a service manual.
The attached PDF is the wiring diagram for the luggage compartment lamp on a 2013 XJ. The circuit doesn't look too complicated so you may be able to trace it from the Central Junction Box (see graphic).
C3BP01F pin 4 from the CJB then connector C33-E pin 16.
I have a manual and other information but it's really huge about 300 MB.
I also have the wiring diagrams.
Contact me and I can upload somewhere for you.
Be aware the manual is about 8700 pages!
So my only complaint is the volume of stuff it contains!
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thanks i looked through it.. i can find a reason why the trunk light does not work. possibly a relay of some kind. I`m beat,,, i will have to pay to locate the issue.
sorry to say I never figured it out. i get an alert on the dash when trunk is open. but no light power.. so i did a work around, until i can have it checked at the dealer. i used a tilt switch and a fuse to the battery. work great. but i will someday find the reason the light is not working as it should.