There are some other differences.
Persons can also be used as a Verb: "And Australia, as everybody knows, is entirely peopled with Criminals"
You will occasionally hear Person used in adjective form: "He was very personable" (amicable, agreeable). "He was kindness, personified" (if Kindness was a person, it would be him). "I will see to it Personally" (I will attend to this matter without delegating it to another)
My own favourite:
"I am a people person" - I am a person who likes people :)