My parents are threatening to get rid of the only things I still care about

The last of my emotions belong to my pets. Today my dad said he might get rid of them tomorrow. If that does happen I might dig hole in the ground with a paper that says "here lays my emotions. R.I.P." I practically have no emotions left and I came to the realization about this not being normal by comparing my reaction to certain situations to my family's. What's wrong with me?