Modifying the plug-in allowed us to get connected, so thank you for that!
Our support staff didn't notice that we weren't getting tickets until today, so we ended up with eight days of tickets in their queue once it started working again. How they didn't notice I have no idea, since now they've got 40 tickets to clear (or maybe they did and were enjoying the vacation from tickets). Is there a way to get some kind of notification from osTicket when the token expires?