depression? or just tired

My baby is 1 month old but I'm having a hard time trying to cope with baby feeding and exclusively pumping. Yesterday baby woke up at 4am to feed half way and fall asleep. Woke up at 5am to feed again. Then I had to pump from 5-6am. Rested another 30 min and baby started crying for next feed. Half the night I couldnt sleep and wonder how am I going to cope with a new day ahead. At times I just wan to give up and leave, at times when I'm frustrated I man handled baby a little. I'm wondering am I just a bad mom, or am I depressed. Thinking of next pump that might coincide with baby next feed gives me so much anxiety. And I have been crying alot whenever I cant cope with pump + baby crying. Do I need help??