I don't feel sympathy for a friend who recently became homeless
Do you really mean that? Why don't you feel that?
I'm a good person, I only feel sympathy to people who have helped me in some ways
It's natural and healthy to have sympathy for your friends and loved ones when they are going through tough times. Just make sure your sympathy doesn't turn to pity.
I'm not interested in a homeless friend who is unable to find a job.
But they are your friends, right? How do you think they'd feel if their friend abandoned them in their time of need? Perhaps it would be nice to just help them out sometimes, you might find they are an even better friend in the end.