Employers can and do contact schools to verify prospective employees' enrollment. If you just list your current school, implying you've been there since you finished high school, the employer will find out you haven't and probably drop you from consideration.
If I were you, I'd list the junior college and your current school, but not the school you attended freshman year. If you're challenged, you can justifiably say that you only listed the schools you earned, or plan to earn, a degree from. Employers will care more about your BA anyway. A lot of people these days attend junior college and get an associate degree, then transfer into 4-year colleges as a junior, so that's not such a red flag.
Good luck!
