Yes, do keep moving forward. At least call the doctor and tell him of your difficulties. It is worth it to tackle this thing whole you are young, and resilient, even if you don't feel too resilient now. How about some counselling, therapy?
It might make you feel better to throw some clothes on, brush your hair, put the baby in the stroller, and go for a walk. Is there a park with swings etc? or a duck pond. Anywhere is OK. Mention the parks because maybe you could drive there, and push her around. Take some deep breaths and just hang out.
Make a priority list, starting out with the bare minimum. Such as, shower, clean clothes, bathe, dress and feed the baby. If the self care is too much, just shoot for it. Throw something on and get outside. Make sure you eat something nourishing, staying away from junk. Not so hard: care for baby, eat, go outside. Baby steps for you.
Some people just LOVE taking a nice hot bath when the kids are asleep. Do you music on? Anybody you could go visit for a short time?
You can beat this and survive.
Oh, if applicable, no rec. drugs or alcohol. Might seem to help, actually brings you down.
Good luck, Sweetie. Post again.