The instructor should also be a good teacher. Although prior teaching experience is very helpful, it is not a prerequisite. An ability to think on your feet is vital. Most importantly, the instructor must be an outgoing and interesting person who can work well with other people. A high score on your own LSAT is very helpful.
Previous experience teaching LSAT classes is obviously highly relevant.
The instructor must be self-motivated. The instructor's success ultimately depends on his or her diligent execution of the directed tasks. There is very little direct supervision of your work. You will be given detailed instructions and materials, but effective execution depends on you. This will be done immediately, during the first or second week after hiring.