By all means if you love them that much, fix the woofers. It can be done for a marginal cost. Not too sure about the tweeters though, if they are shot you will certainly have to replace them.

With some advice from some of the DIY speaker guys on AR, you should be fine. I am currently replacing my tweeters on an old pair of Avant vintage speakers. Might be a good opportunity to improve what was already super pleasing to your ear.

As for your daughter, might I suggest a closet, a padlock, alot of moldy bread and about 30 days? What can ya do? We were all teens at some time....