Welcome to the forum Poppa!
Don't worry about your purchase, we should be able help you figure out your problem and get it fixed. The 1987 was the first TW model year and some on this forum feel that it is the fastest year. This year also has a unique electrical system and a CDI that is considered to be failure prone. From the information that have provided it could carb or fuel related, or CDI related. You should try to rule out any carb or fuel related problems before assuming that the CDI is the problem.
Service manuals can be found for downloading on this forum along with millions of threads on carbs.
Have patience, work with us and we'll get you up and going as quickly as we can.