Yes, they perform “light duties.” While they are retired from full time ministry, they are always a priest. Usually retired priests help out at local parishes for Mass coverage and confessions. Some of them even take overnight on-call duty at local hospitals. They are retired from full time ministry and administration but always perform priestly duties within their ability.
Yes, a priest is always called “father” even after he retires because he is always a priest.
DISCLAIMER: Catholic Answers has turned over the archive to Catholic-Questions.org and no longer owns, manages, or moderates the forums. For additional apologetics resources please visit www.catholic.com.