My DC1 was the same. And she didnt want a dummy, so she would be overtired, and unable to go to sleep without crying. Going out was horrible. She didnt like the pushchair, car seat, but she was happy when carried around. She would not sleep through the night until two years old... And wake up at 5 am and be ready for the day. I was so tired all the time.
She is now a very very intelligent, caring, sensible 11year old. Other mums , and all her teachers, tell me I have such a wonderful child (DD has her little faults, but she hides them well to the outside world, and she does look perfect).
I dont know what I should have done differently. My DC2 was such an easy baby. I couldnt believe that he would suck his thumb and be content, and go to sleep and remain asleep for hours.
Just do what you feel is right. Dont listen to anybody. I hated when people where giving me advice. Nothing seemed to work. I think my DC1 was just very sensitive and she needed reassurance.
If anybody can help you, accept the help (cant anybody take your children to the park while you stay home with the baby? Cant anybody let you rest while they take care of the baby? )
Most importantly, dont ever feel guilty. You are doing a splendid job, and your DD is the most beautiful, most intelligent , most lovable baby in the world, much better than all the other babies that sleep 14 hours per night.