Not at all, I will now explain both in a completely fan-fiction based explanation!
Queen facehugger:
Occasionally the Queen alien will stop laying for a while, her egg sck entirely devoted to a single massive egg. This egg contains a Queen facehugger. the Queen facehugger is only ever laid when a hive is in danger of destruction, and its survival needs to be ensured, or when a hive grows too large, this special facehugger is the leader of the expansion wave.
King Alien:
While called a "King Alien" this xenomorph is actually just an alien spawned from a large insectoid creature from an unknown planet.
hah! I'm the only one who actually did it! I know it sucks, but nobody else has come up with anything yet.