Family letters?

[Kimare]

So this situation is a bit peculiar.
My father went to the same college I go to now, and he was in a fraternity there, and I'm in a sorority now. Greek life is important to us both, and something cool to bond over.
However, my dad was a Phi Sigma Epsilon, which became Phi Sigma Phi the year after he left. It changed again a few years later to Alpha Sigma Phi, but the Sig boys (many of whom I'm good friends with) still live in the same house and have old composites and stuff.
So my question is, can I wear my dad's letters if he gives them to me? On lavalier or shirt? The fraternity disbanded, so I'm really not sure of the protocol here.