Your not testing the coils with that light ? are youProlly best and for sure simplest to just keep on with two coils. Your 5 ohms primary test is well in range of working coils.
For most of this kind of trouble shooting a plain old 12 volt light bulb with alligator clips is the best tester around. It finds 12 volt and the (lack of) brightness shows up poor connections with some load on them. It's perfect for setting points too. I use a turn signal bulb and base.
Just repaired a 24' man lift a museum sold me REAL cheap, cuz electric problems. Mainly used that light bulb, even though I have 3 or 4 VOMs and several LED voltage meters.
Nah