Sounds like your ignition lock or the key are screwed, If it happens with the backup key, I'd see a mechanic to determine if it is the lock tumbler or the ignition lock itself. He can also bypass the ignition lock and see if it starts without engaging the key.

I read that completely wrong.

Your ignition cylinder needs to be replaced.

Is it the key or the starter that "turns completely around"?

Based on your description of the problem I would think the ignition switch has failed.

Hi without a hands on how do you expect an answer. so time to callout a garege to fix it.