Lawful evil person have a code of honour their henchmen or Allies respect them and they saw their goal noble
I wouldn't call The Mandarin lawful evil. Lawful evil to me means characters who genuinely want to make the world a better place, but think them being in complete control of your every thought and action is the way to achieve this. I don't think that's true of The Mandarin. He begins by devouring the wealth of his fiefdom to make himself more. He ruins the lives of everyone dependent on his estate, and doesn't care in the slightest about it. He doesn't try to improve their lives, not even in the Doctor Doom sense of making them all his pets. He steals and enslaves and exploits and karate-chops his enemies to pieces. He's a chaotic evil barbarian warlord.
Netflix Kingpin is Lawful Evil. He wants to gentrify the poverty stricken areas of New York, improving the area at the expense of every individual too poor to live in his new world. Comicbook Kingpin is much like The Mandarin: a chaotic evil barbarian warlord who seeks to dominate out of greed and sadism.
Captain Cold is more Neutral Evil. His "code" is just an attempt to prevent the entire JLA from coming after him because of him killing Flash, and because he considers cruelty and murder to be generally pointless acts that don't bring money.