Is being a drama teacher the right path for me?

Yes, even if you decided not to follow-up with becoming a theater performer, a movie extra or actress, you can still use the skill in a beauty shop as a beautician or as a drama teacher. If those careers did not interest you, then you could continue in a four year college and get a bachelor's degree with one or two major areas where your interests may have turned after you receive your BA degree. Good luck.