Square magnet, deffly a CTS woofer, some of those were pretty nice and a LOT of speaker makers used CTS drivers.
Replace both the caps, they don't cost much and will usually make a huge difference. The 2.5 is for the tweeter, the 4.7 goes to the mid, I would guess. Problem with a local elec. shop is they probably won't have a nice film and foil audio grade cap. It'll be cheap stuff, it will work, but why put in an 89 cent cap when you can have a really nice one for $2, since you're going to the trouble anyway. That's the way I look at it. But, the cheap one won't hurt anything, and it will keep the bass out of your tweeters, so it will prolong the life of the speaker.