Hey!
You found exact replacement woofer as the original? Well, that's impressive, considered how old those Pinnacle are. Yeah I remembered Pinnacle speaker back in the days. But I've never seen this model, must be a later model.
As for the xover, those capacitors and resistors are likely have value printed on them so should be easy to figure out. As for inductors, sometime they are custom wound and don't value prints on them, so you might have to measure them.
Don't know how old these speaker are, but those electrolytic caps likely a good start. You have to figure out the xover schematic and see which caps are the most important and directly in the signal path... that where you want a good cap in it. For caps there are lots of choices, but Miflex and Mundorf are a good start and they are not very expensive. For power resistor, I like Mills and Mundorf, although Mundorf are cheaper though.
By the way, upgrading things is tricky. What I mean is, if you like the sound of the speaker now, upgrading to more expensive parts doesn't always mean you will ended up liking the sound of the speaker after better though.
Anyway, good luck. Oh! By the way, if you think that's a liberal use of hot glue and silicone in the xover board there? You ain't see nothing yet! Google search article and pics of "Blue Circle Audio" and you'll see why
