I constantly feel like a bad mom

I just want to cry.. I feed my little guy, rock him and change him but at the end up the day I feel like I'm failing him. He's 6 days old today. His dad only watchs him really from 10pm to 1am if I'm lucky then all the other stuff is left for me.. I wanted this baby for so long. Went thru a miscarriage and everything. Now that he is here I feel like I have no idea what I'm doing. I just cry all the time. I love him but I just hate myself