Now hold on, the 1998 Boxster only had about 200 horses, right? I'd be more scared if a kid rolled up to the high school driving a new V8 Mustang, or a 350Z.
Back when I was in high school I remember guys rolling up with brand new Mustang 5.0's. That's the kind of car that entices impormptu stop light drag racing.
The boxster should be a nice, sporty ride, but it's not like someone just handed him keys to a deathmobile.
Enjoy the car, man. Just don't get too ballsy when you're turning!
Now, as for image though--Randall's right. I've commented on the effect of the badge before too. As long as your car is in good condition, people will still assume it was super-pricey and that you're some spoiled kid. Water off a duck's back.