Smoked some wires today

Stay safe!
I'll just read what you wrote and type as I go.

20 ohms between what two places? The ground terminal and ground? There should be no connection between ground terminal and ground. In other words it should be infinate or Megaohms. The ground connection should be the wire to the shifter or neutral safety switch, when in N (or Park)
B to ground should be open, which willl show as Meg ohms on many digital meters.
S to ground also should be open.

B should not be connected to any other terminal. 5 ohms between B and anything is too little! Should be infinate! Seems like a problem internally.
If the key was in start, then then there would be a connection between B and L. That connection would be through the key switch and should be 0.1 ohms or less on th e meter.