one you have forgotten is that all cats are allowed safe passage to the moonstone/ highrock
Theres a whole bunch more, that i can't remember and i don't think are important....
Oh, yes, a medicine cat cannot have kits.
And, well, actually, i don't think this is a rule, but, medicine cats have a meeting every half-moon (I think its every half-moon, or it could be every half of a moon (meaning the go once half a moon is up, not once the moon is a half)