I am a Six Letter Word. My Motto is together as one.

I Am a six letter word..
My motto is together as one...
If you remove my 1st and 2nd letters, people will wear me...
If you remove my 3rd letter, am very painfull..
If you remove my 2nd, 3rd n 6th letters, Adam and eve did it...
If you remove my 2nd n 3rd letters, people do it with their mouth..
Guess Who am I?

Click here for Answer

The answer is STRING.
People wear RING.
STING is painful.
SIN is what Adam and Eve committed.
SING is what people do with their Mouth.