Awww Keeley. (((((hugs)))))
You sound so like me after DS2. I've been there, more than once, so know exactly how you're feeling. It's a dark dark place that you're at and life feels like such an uphill struggle.
There is no shame in admitting you need a little help. And ABSOLUTLEY no shame in not bonding straight away with your baby. I did not bond with each of my babies straight away, even taking as long as 6-9 months with one of them. There is absolutely no harm done and my love for him (now 9 years old) is tremendous, as is his for me.
My DS5 was a screamer. Nothing pleased him and he would scream non-stop till he was almost a year. Let her scream. It'll do her no harm. Some babies just like the sound of their own cry. As long as you know she is dry, fed, warm etc.
I don't think this is gender related. It just happens sometimes. I think you're a brave brave woman for facing your problems. You have a front to put up, to show the world you're coping. A bigger woman admits she isn't coping and accepts help. For the sake of your beautiful DD's and for your quality of life. Go see your Dr and let it all out.
You're an amazing woman. I'd love to meet up one day.
Keep us posted sweetie. 
Much love & hugs, Lisa. 