J-1 visa is no longer for flight training. You need either an M-1 or F-1 visa. You can not work on an M-1 visa (with the exception of practical training which you do at the end of your training).
F-1 visa does not allow you to work "off campus" during the first year. If you are at one of the few F1 visa flight schools, your possible employment prospects would be very very limited.
USCIS - Students and Employment
You must have sufficient funds available for self-support during the entire proposed course of study