So I discovered a number of interesting things.
1) I discovered my Tekonsha P3 Brake controller can test a lot of the things we are trying to test.
2) I read my brake controller wrong before. The number it displays is voltage not current. So when you slowly pull the switch it displays voltage from 0-13.4 volts.
3) The brake controller tests by itself for: open ground, Overload, Output Shorted, Power Loss and No Trailer connection.
4) There is a helpful diagnostic screen which lets me test: Battery voltage of TV, Voltage supplied from the stoplight switch, Output Voltage provided to the trailer brakes, finally the output Current provided to the brakes. I have uploaded pictures of the voltage and current readings with the brakes fully deployed.
It seems to me now everything should be in order, except I am not sure how to re-test the breakaway switch.