It seems like you just got your designation changed for CEC. NO, it wont create a problem even you are working for $10.25/hr as assistant manager. They have nothing to do with your salary. All they need is one year work experience. I would not recommend you to move unless you get your PR. They sometimes call employer for query, and you are currently not working then they might start wondering why? I am not saying that your file will get rejection.
One more thing that might create a problem for you is promotion without increment in salary. Just mention that you were a regular employee, and by seeing your capabilities he promoted you to Assistant Manager. So for e.g. You were sandwich artist in beginning with salary of $10.25/hr, and by seeing your capabilities and hard work he then promoted you to Assistant Manager with salary of $13/hr. P.S. just don't drag supervisor thing in between either go for assistant manager or supervisor.
