2002 Accord SE, 4dr, 188K miles AT

I got to work and turned off the car and sat for a second with the car off and keys out. Suddenly I heard a clicking sound like a relay oscillating over by the glove box.

The car wont start but if If I put the key in and turn it to the run position the oscillating stops. With the key in the run position nothing works; electric windows locks, radio...

Also, with the key out and the brake pedal pressed the oscillations stop.

I am unable to get the transmission out of park in any combination of brake & key position.

I took the negative battery lead off for a few seconds and put it back on with no change in symptoms.

I have an after market remote start / alarm installed...

Has anyone ever heard of this problem before?