Don't be put off by a landing bounce - it happens to all of us, and as long as sufficient runway length is available there's nothing really wrong with it though it does make us blush. (and yes, indeed, GtW, after three bounces I would surely go around even if only out of shame!)
Still, a school unable to keep its instructors seems to have a problem. Have you talked to other students? It is indeed important to have stability in instruction, because each instructor unavoidably has her/his own style and priorities.