Baby crying

So I need serious advice. My child will be a month old Friday. She literally takes up all my time. I don’t mean that in a bad way. I mean when she awake she constantly wants me to hold her. I can’t pump like I should because she cries until she’s red in the face even if she feds, changed, and if I’m talking to her. I could be sitting right beside her and she still wants me to pick her up. My supply has taking a drop due to this. I can’t clean like I should or cook on time. Even when she’s sleeping she notices when I puts her down and starts to cry. Idk what to do because soon I’ll be back in school and I want be able to hold her like I have been. Also I need to get my supply up again because I plan on breastfeeding for 6 months. I need any advice I can get. Is she just to young for me to put her down?