I measured all the voltages, unsure of which ones would be useful to anyone. I didn't realize the extra data would be a distraction. I guess now that you say it that way, you maybe just need to know gate-ground (which is gate-source) and drain-ground (which is drain-source).Your original complaint was that 12V was always being applied to the load.
Why are you measuring voltages between the MOSFET terminals? Measuring with respect to round is sufficient
We only need to know what the voltages on the gate and drain are. If you have things connected properly, the source will always be ground.
The drain-source voltage is an order of magnitude higher than it should be. 8A * 7.3mΩ = 58.4mV, you measured 500mV.
500mV drain-source was on the full scale; if I need to get that number more precise, my voltmeter has a <300mV option. Does that unusual reading indicate a particular failure that I should investigate differently?