Jun Min already knows some of the things that Fan Lanying mentioned to her when she visits her previously. Nevertheless, those things are not enough because Fan Lanying knowledge is overly limited. She won't be able to know as much as Ming Hui or the other guys.
She cannot ask them when she is dressed as Jun Hua, but when she is dressed as Jun Min, there is nothing wrong with her asking many question about things unrelated to her family and minor matters that she missed.
"Do the other princes have started another round of recruiting people?" they recruited some people secretly when it comes to the test a few months before. Even if there are none of these events during these pasts few months, they must have a different way of recruiting people.
