YEP defo post natal depression!
Sorry you feel like this OP, but I'd think it was odd if you didn't! I bet most women wished they could send the baby back to where it came from, at least once, in those first few months. It's very hard going, it's 24/7 work, you never get a reprieve, and your lack of sleep will not be helping the situation. It gets easier as the months go on though, and you will wonder why you struggled so much and felt like this.
A friend of mine had a baby (girl) in 2009, and said she felt envious of the people of her age at the time (22-25,) who were tootling off to the pubs and clubs on a Friday night because she was stuck indoors. And she even envied people going to work at 8.30am and returning at 5pm, because that was their day's work over. Her job never stopped. And on a Friday, they were off for 2 and a half days, and she stared in envy at them, as they went shopping with mates, went to afternoon BBQ's getting tipsy, and went to concerts, and nightclubs etc. She didn't even have time for a decent bath.
But now, her daughter is 7 (almost 8,) and is a total poppet. A lovely girl who see has lots of fun with, and absolutely adored. These same people now have 2-6 month old babies themselves, and say to her 'omg, I wish MINE was 7. It seems so far away.'
So it will get better. Talk to your doctor though, you need some support.