Own the rights?
None, really. Jack kisses another puppet, once.
The film is filled with pseudo-scary visuals, but little actual harm is done. For instance: one character has a hatchet embedded in his head, but it might just as well be a hat. The characters are mostly toys, or, could be interpreted as un-dead creatures.Santa Claus is kidnapped and held in a dungeon with manacles.Oogie-Boogie is a creature who appears to be a walking burlap bag. The bag is revealed to be full of bugs. Kinda' gross-looking.Jack, dressed as Santa, is blasted out of the sky with missiles and falls to the ground (he is unhurt).A mad doctor has a skull that flips open to reveal his brain, which he massages. Later, he removes half of his brain to place it in a mate he has created.The heroine, Sally the rag doll, has arms and legs that come off and operate by themselves. She feeds the doctor a soup laced with Deadly Night Shade, a poison, which knocks him out.
None.
The sight of many of the bizarre and somewhat monstrous looking citizens (including the occasionally menacing appearance of the villan, some glowing eyes, and sharp teeth under a bed, etc.) might be unsettling or downright frightening to some younger kids.The sight (and related thought) of kids receiving menacing or dangerous toys from Jack for Christmas might scare younger kids.The instances of "scary" visuals literally number in the hundreds, but they are all of the Charles Addams cartoon-variety.