I'm so sorry you're in so much distress. Life is so hard. You are so attached to this baby and would be clearly very tortured by having had an abortion, and though I am deeply pro-choice, nobody loves the idea of abortion. If you feel you can't live a peaceful life if you have an abortion, it might be best to get on state healthcare and WIC for pregnant women and babies and start to go about a process of adoption for the baby's welfare.
If you make the decision to abort, do it with certainty and do it now. You must be strong enough to forgive yourself, because at this point the neurological system of the embryo is not going to cause pain or loss of sentient life.
This is Webster's definition of an embryo, just so you know what stage you're at:
"an animal in the early stages of growth and differentiation that are characterized by cleavage, the laying down of fundamental tissues, and the formation of primitive organs and organ systems; especially : the developing human individual from the time of implantation to the end of the eighth week after conception". A six week old embryo is rudimentary, only with the "formation of primitive organs and organ systems" and is not sentient.
I personally don't believe that a miscarriage or abortion is the death of a soul, and that the soul will have the opportunity to reenter life in a similar way and form if a pregnancy fails, for example. My beliefs aren't what count though. Yours count.
Ultimately, you need to not bring a baby into the world while facing homelessness! Love your existing, independently-breathing child enough to preserve his/her safety and environment. If you keep the baby, love it enough to give it up for adoption. Especially if your temporary partner is never going to be responsible, safe or dedicated to the survival, support and stability of the child throughout its life and is not going to be there to keep the baby off the streets. You should not be with somebody you don't love because of a baby.
Hang in there. Sorry things are so hard right now.