You didn't say what the reading was with the probes touching each other and the probes not touching anything.
Did you ever, with the meter set to the 200Ω scale, place the probes on a powered connection, like across the battery terminals? Might have blown the meter, if so.
Have you left the meter on, draining the internal battery?
I never asked you to measure the black wire, which, if the key was on will be +12V from the battery terminals. You should NEVER apply an ohm meter to a powered circuit. At best the reading will be nonsense, at worst, the meter will be damaged by the external power source.