Just a guess, I would open the Incident Management project and click Models under Project properties. Make sure the model you want exposed as a service has Invocation Target checked. Then republish Incident Management and check if it appears (NOTE: I have no idea what other side effects this can cause)
As far as creating a ticket "spammer", you can programmatically do it in Visual Studio, or use test tools like Chromium. You might have more success with the SMP if the above works, however.