I think my sense of morality is barely existent
Why do you think you don't have a sense of morality?
I don't feel bad about things I've done.
Not having morals is not a good thing because morals help us determine right from wrong. If you continue to do things that are bad or wrong then you're push people away from you, and you could gen into serious trouble.
Who says I care?
Maybe you don't care, but by having a good set of morals, you'll gain more acceptance.