GCFI Outlet Trips with no load or downstream connections
It's dead, Jim

You have kept the tape on the LOAD terminals and nothing is plugged into it. That's a good a test as you can do. 

Really the only thing left to do is test whether the power is good.  I would swap in a plain receptacle and plug in an appliance and see if the appliance works.  That will be a more definitive test than you can get from that probe.