At a dead end with this issue..?

First try shifting from Park to neutral and back to Park, if still nothing, check battery voltage, it should be minimum 12.4. Check the battery cables for corrosion and make sure they're tight, don't forget the one by the starter. If cables are ok, check voltage signal at the starter solenoid as you try to start it, if no voltage present, trace back to fuse, relay or ignition switch.

could be starter relay or nutral safety switch as well