'should of' I can imagine becoming used, like 'gotta' is already. But 'apart of' instead of 'a part of' can't ever become used, I think, as it is entirely strange, and so close to 'apart from'. It is an understandable mistake, though, I'm not shaming anyone for making it.
Ahh nice. Makes me feel like writing a short tune for you to the music by The Who... “Q are you... who Q? you Q. ....”