The coils a self energising so they are not connected to the battery and doing so will fry them in no time flat
For the purpose of testing you can remove the kill wires from the coils
The Kawasaki manual shows them as being white while the Simplicity manual shows then as being violet .
That engine has a low oil warning system as well .
On the earlier models it just went to a warning light on the dash but I have a feeling the latter models it was connected to an ignition cut out
So if the oil level is a little low, after a couple of minutes of running the oil that was in the sump gets distributed all over the engine, causing the sump level to drop activating the low oil shut down.
After sitting for a few minutes the oil drains back into the sump so the ignition circuit is good to go again.
I was sure I had a late model diagram I can not find it
Simplicity have all of their manuals on line but you will need to use the model number to get them
Simplicity web page
If you post your full model number off the ID tag
If you post it here as well we can look up your exact wiring diagram so we don't give you a bum steer.