I'm not a mom, but I can re-call when I was teenage, my mom and I would fight alot, like curfews, cleaning up after myself in the bathroom, cleaning my room, etc. Especially when dealing with teenagers, sometimes parents need to be gently reminded that the teen is going through a rough emotional period. and the teenager needs to be reminded the parent is going through a hard time letting their son or daughter be more independent.
I do agree with the previous post that everyone has their own personality. and teens are just starting to figure out that they have their own mind-which means own opinions, etc. and sometimes teens take advantage of that and run with it:they'll argue anything they can (I know I took advantage of it with my parents, just for the sake of voicing a different opinion, because I could.)
Try not to worry about about your neighbors think: they are not living in your house, they have no idea what goes on and your parenting style and your kids are not their business (unless safety issues are a concern). Just keep in mind that what matters is the opinions inside your family.