It sounds like you will not sleep at night for worrying about whether you are going to have a problem with the car. If that's the case, then buy the warranty ----so it will ease your fears.
You gotta do what's best for YOU. If the warranty will give you peace of mind, then do that. Then you can relax and enjoy the car!
Most people who don't take advantage of a warranty are willing (and have the money) to pay for repairs IF they happen. If you don't have the cash to get you out of trouble later, then maybe the $7 a month would be great insurance for you!
Go for it----but whatever you do, don't look back and say, "I should've done this or that." You have to live with your decisions---that's part of being an adult. Life is full of choices we have to make---and there are no guarantees. Everything is a RISK. It just depends on whether you are willing to take on risk, or you want the security.