She is just P1, it should be a time to help her adjusting to new primary school life, meet more friends, etc. You are already so nervous about dictation, homeworks now, it is a long way until P6! I have 3 boys, they are in kinder, primary and secondary and so I need to handle them differently. But in short, nowadays as a parent, we are doing TOO MUCH for the kids, I think we should always be on the side to guide/help/give advice if needed but not to control and plan everything!
Relax, I would rather spend times talking to her about what she does in school, who are her friends now, what she enjoys in new school, etc You can setup schedule together and study in the weekend if necessary.
Ha ha, some kids like that, it is not 告狀 if she says it nicely to the classmates. May be she can talk to the classmates instead of going straight to teacher first. I think her behavior is totally OK.