JetPack Update Failure

We updated WordPress, several plug-ins and then JetPack, and our site broke – it was only showing a down for maintenance message. We had to go into the CPanel and manually delete JetPack. This seems to have worked, our site is up again – nerdalicious.com.au – but we can’t reinstall JetPack – it just hangs when we try to install through the WP Plug-Ins.