First, dont connect cables randomly, you might end up frying something. I know in my evinrude if I wire it wrong I have about 2 contact that will go zap... This is a very easy job to do if you are electrically inclined. If you are not you might want to consider passing this to someone that is... I have no specific experience with your rig but most all switches works the same. This is for most ob motors which kill the motor by grounding the magneto. Most OB kill the motor by opening the 12 volt feed to the ignition.
The first obvious thing to do is look at that diagram of the new switch and wire it properly. If this is an ob motor you more than likely will have 2 connections going to the magneto, one for ignition on (accessories), one for the starter (solenoid) and one for the choke (when you push the key in). If you labeled your cables as what they do instead of the location of the cable you should be ok.
If you dont have the diagram or you dont know what each cable is for you will need a voltmeter and will have to trace the cables.
Alternatively: Im sure you are replacing that switch for a reason. If the old switch still works then you need to use a voltmeter to find which contacts works with which at different position... for example..
With the switch in the off position:
You should have steady battery (12v) at one connection. This is your battery connection and will always have 12v unless you have a cutoff switch for your battery.
Your 2 magneto connections should be grounded.
The ignition connection should have no voltage and very low impedance.
The starter connection should be same as previous.
With the switch in the on position:
You should have steady battery (12v) in the battery connection.
One magneto connection should will be grounded and the other one will have low impedance.
The ignition connection should have 12 v.
The starter connection should have no voltage and very low impedance.
With the switch in the start (cranking motor) position:
You should have steady battery (12v) in the battery connection.
One magneto connection should will be grounded and the other one will have ac voltage
The ignition connection should have 12 v.
The starter connection should have 12v and the starter should be engaged and turning.
Hope this help and my memory is not failing me... for IB the difference is there is no connection to the magneto.
Good luck!