Does The Culture And Lyrics Of Rap Encourage People To Engage In Antisocial Behavior?

Not so much antisocial, but illicit or illegal behavior. That is what I see with it. It is most associated with gangster activity. I can't stand it, bad enough that rock gives me a headache, this stuff is ten times worse for me.

No, music is not intended to persuade you into bad behavior its just a way for an artist to express their selves

A study has shown that (generally) rap music is enjoyed by people with lower SAT scores, or rather specific rap artists.  Google "Music that makes you dumb" and see for yourself.  

That being said, when any impressionable ear is audience to anything, it influences them.  If the content of rap music glorifies antisocial behavior, it certainly will encourage it. However, not all rap music does this.