Pregnant and dealing w step child issues :(

So I have a blended family, my son is about to be 11 & my step daughter is 6.5...I'm 35 wks pregnant and it's been mostly uneventful. But in the last week ppl in general have started to irritate me, and now it's getting to the point that my step-daughters whining and begging and pouting are basically pushing me over the edge. And it doesn't help that I feel like my husband just lets her do it (I don't have this problem with her when he's not home) so last night I tried to speak to him about the issue...long story short he got defensive and called me a hypocrite saying I let my son get away with the same thing. Problem is I know I'm not crazy bc I've had other friends and family from both sides, even his former mother in law, say how spoiled she is! Any advice as to where to go from here would be appreciated.