We can without fail call our earthly father as father. It is expected of us, by the 5th Command, to honour our parents everyday alike, irrespective of the circumstance. Yeshua (Jesus) harshly attacked a custom of the Jews, for they called the rabbis as fathers. He attacked similarly against all religious present-day Christian leaders too. We all have just One Heavenly Father and He is in heaven.
The earliest Mother’s Day celebrations can be traced back to the worship of mythological gods and paganism. People in ancient Greece would hold annual celebrations in the spring in honor of Rhea, the mother of the gods. The Romans also had a mother of all gods that they worship.