Hello aspirant

You should not worry as your father's name is correct. It's OK if In your class xii certificate it is written Late before your father's name .

In neet ug form all the names ( your name, father's name, mother's name) should be correct with right spellings . The names should be same as in aadhar card. Date of birth should be correct. Your photo must match with your photo in aadhar card so that you can be recognized easily,  for that always use recent photo copy of yourself.

You will be called for counseling and there will not be any issue .

All the best.