I'll start with mirror image. It doesn't make you invulnerable, it just lowers the chance of you being successfully hit.
Second, improved invisibility only makes you unable to hit with spells that need to be directly targetted - you can't be struck by, say, a finger of death, but spells like fireball and confusion will still affect you. The mind flayers' psionic stun is actually an area effect spell. The same goes for spell turning.
*sigh* : P
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