my babys father is in jail for the next 4 years does he still have rights?

Yes, he still has rights, unless you petition for the termination of those rights.  Generally, a court won't allow the termination of rights, unless there is another person willing to take over those rights, i.e, adopt the child, like a step-parent.  Your child's father would have the right to contest any termination procedure and the fact that he is in jail and can not maintain contact would be a legitimate defense.  Whether it would be successful or not would depend on many factors.