Yes, I have mortgage programs available to my clients with 617 credit scores. Please note that credit is only one of several criteria (i.e. down payment, income, property location) when financing a home.
That is a lender question. If you are in need of a name and phone number for a lender please let me know. I have a few great ones that I can recommend you calling. My cell is 586.489.6373 and my email address is firstname.lastname@example.org
This is really a lender type question. There are many other factors besides credit score. Such as debt to income ratio etc. They can help you plan to get to the next step. Feel free to contact me to help you with the next big step to your future.