A few years ago, something like this happened to my '11. It wouldn't crank, but it would start when push-started. The first time it happened when it was driven to a store and when leaving the starter motor wouldn't energize (not a bad solenoid).
As it turned out, there is a fuse/fusible link marked ignition that was blown. I can't remember the location, it may be in the one inside the battery compartment.
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