This. I so agree and the whole post made me cry. OP, I hope you get things settled, I'm so so sorry for your situation.
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I guess there isn't enough information here for solid answers to be given.
1. I can't think of a single reason why you would be evicted for having a baby in your apartment unless it was an age restricted residency. Since you have your daughter there, that clearly isn't the case. I don't think you're an illegal alien since you had a govt. job previously...is it your ex threatening to evict or the landlord? If it's your ex, you have options even if they don't seem obvious. If it's the landlord, you have a lawsuit on your hands IMO.
2. Is leaving the area completely just out of the question? It seems like the perfect time for picking up and starting fresh somewhere else. I can understand if your healthcare/disability is non-transferable to another region. (Even then, moving even an hour away can make a huge difference.) but if it's the fathers of your children holding you back from leaving, the manipulation from them is out of control and needs to be stopped. Are they/will they pay child support? Any financial assistance other than your ex allowing you to share in the expenses of his place? If the answer is no, you owe them nothing. Children are a privilege and a responsibility, not a right.
3. Is switching therapists not an option? Either find a way to convey your concerns to your therapist better and communicate how you're truly feeling and what you need from him, or inform him that he is inadequate for your needs and seek to transfer to a more competent therapist. It might not be the option you'd think of or choose first, but sometimes counselors and therapists associated with some churches or who have religious backgrounds have better resources and better success rates with women in your position. Either way, if I was seeing a Dr. that I felt was incompetent, I would seek every avenue I could to address that issue. otherwise It's a waste of money, time, and most of all...further impairing YOUR wellbeing.
4. Even if you don't bond or love this little boy right now, or even right after he is born, he did not ask to be born. he did not ask to be brought into these circumstances and has literally done NOTHING wrong other than to exist at an inconvenient time. He deserves every ounce of effort you have to protect him inside your womb and out, and be given the best chance at a life of health and happiness you can offer him. I think you fully realize this and that's why aborting him wasn't really on the table for you. In light of that, fighting for him and for the chance to possibly love him in the future, or for another family to love him in the future, is a priority for you right now, along with ensuring your daughter is also in as safe an environment as you can find for her, and loving her just as much. That means making sacrifices of yourself, above and beyond what you think you're capable of.
5. I see you're living in south jersey. I have some friends/family in that area, and some in north jersey too, if you really need a quick "out" I could make some calls or give you some names to contact.
The bottom line is: You ARE a mother. Whether you wanted to be one or not, whether you wanted to be one LIKE THIS or not, you are. You have every mother's instinct inside you to do what you need to in caring and providing for your children for as long as you are called on to do it. Trust your gut instincts, even if you tend to second guess them or have trouble doing it because of your past trauma. Know that this is a season, there IS healing for you...in your body and in your spirit and mind, and the road to getting there has and will be rough but I promise. It exists.
If you want more information on specific resources for single mothers (beyond what has already been posted) we can and will help you. If you just want a hug and "we're pulling for you" we can do that too.
I'm sorry the people who should be in your support circle have abandoned you - that's rough. But you're not the first woman in this spot, won't be the last, and you can make it work.
I am so sorry. 
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