The manager definitely knows that Mai is Chungyeon's girlfriend. She made it obvious when she kept asking about who Mai really was. As for Chungyeon not being honest, I don't see where she wasn't honest ? She isn't interested one bit in the manager, that's why Mai trusts her and because Chungyeon is innocent, she can't think about cheating. Even the manager made the statement, Chungyeon seems like a pushover but when someone tries to treat her as one, she becomes as hard as a wall (she knows where she stands).

I think I already know what's going to happen next, nothing good.
I do not like what Chungyeon does, she is not honest with Mai and behaves like a fool, why does she get drunk, allows herself to be manipulated and does not say that Mai is her girlfriend, this is bad. I'm sure that at the end of this season(about Chapter 62), the Manager will kiss Chungyeon or they will end up living together, because Chungyeon can't say no at all. And when Mai comes to visit her She will see this and obviously she will think that Chungyeon is cheating on her and living with another girl. And "maybe" she will be right.
While the Manager most likely has no malicious intent because she did not know what Mai her girlfriend, but surely even when she knows it is not going away and will want to steal her from Mai, and given how Chungyeon agrees with everything, it won't do nothing good.
And in fact, until now the story was cool and interesting, and now this is some phase of the most banal plot, which we have seen dozens of times, probably it is in almost every manga. But there's nothing can do, have to watch it all.