I am word with six letters.
My motto is together as one.
If you remove my first and second letters, you can wear me.
If you remove my third letter I can be painful.
If you remove my second, third and sixth letters, Adam & Eve did it.
If you remove my second and third letters, you do this using your mouth.
What am I?
String. A string ties objects together. You wear a ring, a sting hurts, according to the Bible, Adam & Eve committed a sin and you sing with your mouth.