Ok, It does appear I am using PHP 5.3 syntax in the file causing the error. I’ve hotpatched it on your site so it will no longer cause this error. This minor tweak will be in future updates as well. However, Connections will not load itself because it requires at least PHP 5.4.
The site is running a very old version of PHP 5.2 which is no longer actively support by its developers and potentially not secure. It actually has not been for many years now.
I recommend updating to PHP 7.1 as that is the oldest supported version. There are two newer versions, 7.2 & 7.3 but not all plugins and themes are supporting those version yet.
Looking at the web host control panel, it appears they allow you to change to PHP 5.6 which is actually still really old. Looking at the plugin and theme on the site, you should be able to witch to PHP 5.6 without issue.
Hope this helps!