Your passport must be undamaged, as you will need to submit it with your renewal application. If your passport is damaged, you must renew it in person, instead of doing it through the mail.
Your passport must have been issued to you when you were at least 16 years old. If you were younger when it was issued, you are not eligible to renew it by mail.
If your passport was issued to you in the past 15 years or less, you meet the requirements. If it has been more than 15 years, you must renew it in person.
If your name has changed since your passport was issued, you need to be able to produce legal documents to back this up. If you cannot do this, you will need to renew your passport in person.