Keep your head held HIGH!! As far as your preceptor's concerns, sure. I understand. But, you are a NEW GRAD! Your critical thinking skills will improve with time, trust me. I see the concern with the tylenol dose, too. But, did your preceptor bother to explain the reasoning to you?? As a new grad, you are thinking of that one hour window in administering meds. But, in real nursing, sometimes there are other things to consider as well. This is where those critical thinking skills come in.
It is her job to help you to understand that. It seems like maybe she was pushed into being a preceptor? Not everyone is cut out for it...
As a new grad, 4 weeks really doesn't seem like enough orientation IMO. If anything, I feel like you are the lucky one, to get the extra 2 weeks! Honestly, 6 weeks isn't even that much time. My hospital gives new grads longer than that.
I truly hope that your new preceptor is a better fit than the first one. Best wishes to you!