It sounds like you have a BCM model that has gone out but to be sure you must have the car scanned.
Here is a guide that shows how the engine is done which is similar:
Here is the wiring diagrams for the BCM and you can see the issues with auto start and trunk are related. We should check the fuses as well. Here is guide:
Check out the diagrams (below) Which are the fuse panel locations and identifications.
Please let us know what you find. We are interested to see what it is.
Images (Click to enlarge)
Monday, January 8th, 2018 AT 1:32 PM