If you plan to perform diagnostic investigation and service work on your outboard engine, the most important tool to have is the factory service manual. Purchase of the factory service manual will make servicing problems and diagnosis of problem much easier.
To test the tachometer for a two-stroke-power-cycle engine for functionality, connect it to another two-stroke-power-cycle engine. Note that on a typical analogue dial-pointer tachometer, the resting position of the dial pointer won't be at the 0-mark on the scale.
Your question about coils seems to reflect of an error in your understanding of how the tachometer in a typical two-stroke-power-cycle outboard engine works. A two-stroke-power-cycle engine tachometer is not usually driven by a connection to an ignition spark coil. They typically connect to a half-wave rectifier tap in the alternator.
To learn what wire color insulation is used in Evinrude engines for various functions, see
Marine Wiring Color Codes, OMC Enginehttp://continuouswave.com/whaler/reference/wireColorCode.html#OMCTo deduce where the tachometer is wired to in your rigging, follow the wiring on the rear of the tachometer. Typically an OMC tachometer has four terminal posts on the back. There will be two posts for power connection, one for the switched ignition power (I), usually a violet wire, one for ground (G), usually a black wire. One post is for a voltage for gauge illumination (L), usually a blue wire. The electrical signal from the engine is attached at post (S), and is usually a gray wire.
To discover where the wire goes that is attached to post (S), follow the wire in the wire harness back to the engine. In most OMC engines this wire connects to a lead from the RECTIFIER-REGULATOR assembly.
Because the signal for the tachometer is derived from a half-wave tap in the rectifier circuit, it is very common that a problem with the engine magneto charging circuit which has damaged the rectifier will cause the tachometer signal to become disturbed, causing the tachometer to stop working.