With the keyswitch off, you should only see voltage on the large gauge solenoid post. From there it goes via smaller gauge wire up to the ammeter, and eventually on to the input post of the keyswitch. But with the keyswitch OFF, the voltage has no way to get to ground. In the absence of a path to ground, your meter will read zero for now. To see voltage, you have to check between the input to the ammeter and ground. That should veveal the same 12v you saw at the solenoid. Then check between the ammeter output post and ground. That provides a path to ground, and should register on your voltmeter. But the load is almost nil, so you'll not likely see any ammeter activity yet. If there's voltage, the ammeter is good - and the same voltage should be present at the input post on the keyswitch. If there's no voltage, start shopping for a new ammeter.
//greg//