Hi Sylvia,
If you edit your post and add the adoption_angels tag, those folks may be able to help you with trying to identify/confirm your father's parentage.
A profile for an individual can currently only have one set of parents at WikiTree. Generally for deceased individuals, the biological parents should be connected (if known) to the individual to facilitate the DNA connections/features here. You can also use the Adopted Child Template in the Biography section of the profile to link to the adoptive parents.
If the biological parents are not known, you can connect the adoptive parents and mark them as non-biological, so that any DNA connection information is not propagated across the adopted relationships.
You can also use a Research Notes section in the profile to discuss the information that you have found to date and any conflicting info.