He died for all current sins, that doesn't mean you can go on a mass killing and still get into heaven.
Yes it does; you can still get into Heaven that way. All you have to do is repent. A sin is a sin in God's eyes. There is no medium between them.
Say you are a mass murderer. You go to jail and realize how fucked up your life has been and how terribly awful you have been. You get a preacher that visits your prison and tells you of God's awesomeness. You repent like crazy and don't fuck up the rest of your life. You = in Heaven.
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