Drain pineapple well, reserving 1/2 cup pineapple juice.
Inspect 8 half-pint jars for cracks and rings for rust, discarding any defective ones. Wash new, unused lids and rings in warm soapy water. Place jars and lids on a rack in a large pot of boiling water; sterilize for about 5 minutes. Remove jars from water and place on kitchen towel or wooden board.
Mix sugar, apple cider vinegar, and salt together in an 8-quart pot and cook over medium heat to dissolve the sugar. Bring to a boil and add the pineapple, minced bell pepper, habanero peppers, and carrots. Bring back to a rapid boil for about 5 minutes, stirring constantly.
Add powdered pectin, 1 tablespoon at a time, mixing well after each addition. Let jam boil for 5 minutes, stirring constantly. Remove from heat and ladle into sterilized jars, leaving 1/4 inch at the top. Wipe off any spillage around the rims of the jars using a damp paper towel.
Screw on tops and rings. Place the sealed jars back in boiling water for 5 to 10 minutes. Remove jars from boiling water and place on kitchen towel or wooden board. Allow to cool completely, 12 to 24 hours. Listen for a "pop" as jars cool and seal.
