Struggling new parent

My baby girl was born October 31. I am a new mom, and I am struggling so hard with so many emotions and overwhelming fears. Tonight was our first night at home with her and it has been horrid. She’s been so fussy and we don’t know if why. I am trying to breast feed, but my milk still hasn’t come in, so I started to supplement because I need to know she’s getting enough food in her belly. My husband and I are so exhausted. I am feeling so defeated tonight as I sit here and rock her in my arms and try to console her. I feel like a failure already and I am scared of doing something wrong. Please tell me I’m not alone and that these sleepless nights are normal 😪