My dad's aunt passed away, does my dad have some right on her properties?

In an estate with no will, kinship is determined by degree.  For a nephew to inherit, there must be no parents, kids, or siblings.  If there are not, your father can petition to be administrator.

The only way to find out is to do a deed search. If the house was never sold and the aunt's name is on the last recorded deed, depending on whether she had a will, and died before her spouse or left a surviving spouse and/or children, and what hers and her husband's wills stated, her heirs - including your dad, if he was his aunt's closest living relative when she died- may own all or part of the house. But it seems unlikely.