Go to the CDI Electronics website and find the CDI box for your motor. There are troubleshooting guides there to help you find out which of your components has failed.
I dug it out for you.
http://issuu.com/cdielectronics/docs...guide_-_2012_1
The link is to the 2 cylinder engine section, you need a DVA meter or adapter to check stators, you can't do it without one.
Try disconnecting the yrllow black wire at the CDI terminal strip first. That wire is the kill switch wire and if you unground it the engine will run if everything is working. BE PREPARED to be able to touch it to ground or you can't shut down the engine, you cant choke your's out either, you'd have to literally cover the throttle body with something to choke it out.
If you have a faulty kill switch somewhere unhooking that wire will bypass the kill circuit, The ignition switch runs through the same wire too,so you have to reattach it to stop the motor,
The link is just taking you to the troubleshooting guide, you want the section on Johnson Evinrude 2 stroke 2 cylinders from 1977 up, it's about page 40 or 41.
Mine had similar issues a few years back, turned out to be the timer base.
If you are not comfortable troubleshooting this all out and deciding which parts to buy I would suggest going to a pro sooner rather than later after you throw a bunch of parts and money at it.
Show a picture of the whole dash, that switch is there somewhere, kinda looks like that horn button, but a little different.
Has this motor been running all summer long or are you just getting it out for the year?
There is a higher level of expertise in the Johnson/Evinrude motor section of the forums, you might ask a mod to move your question over there, you;ll get guys who are more familiar with this issue on this motor. PM a mod and ask if you want it moved.