I heard many times about a hadith saying that if one recites ayatul kursi after prayer, nothing stands between him and paradise except death. So first I wanted to know is this hadith authentic? If it is, does it include people who sin regularly (as in its very hard for them to not sin)?

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This hadith has been narrated in our sources and it is widely accepted.

It includes people who regularly sin as long as:

1- They die with faith (sometimes excessive sins make one lose faith at the moment of death)
2- One still respects Allah and tries to repent (not one who is careless and negligent).