To determine physical what the damage is would be difficult without indepth examination. Tweeters are designed to produce high frequency sounds that are typically lower in sheer power (ie wattage). They can not handle large burst of high power without sustaining some damage. I have seen utter physical destruction and literally near combustion of tweeters! Not something to aspire to in your home system!
In your testing, you have determined the individual speaker is at fault. You should contact Axiom service to determine the next steps. I would not recommend surgery without their consent.