[Plugin: Constant Contact for WordPress] PHP errors in plugin and admin panel

The plugin is creating PHP errors throughout our admin panel (above the top nav, in the incoming links panel, etc). For example, when we log in, we see:

Warning: fgets() [function.fgets]: SSL: Connection reset by peer in /home/williem/public_html/wp/wp-content/plugins/constant-contact-api/class.cc.php on line 1913

Warning: Cannot modify header information - headers already sent by (output started at /home/williem/public_html/wp/wp-content/plugins/constant-contact-api/class.cc.php:1913) in /home/williem/public_html/wp/wp-includes/functions.php on line 830

Warning: Cannot modify header information - headers already sent by (output started at /home/williem/public_html/wp/wp-content/plugins/constant-contact-api/class.cc.php:1913) in /home/williem/public_html/wp/wp-includes/functions.php on line 831

The plugin itself doesn’t display anymore, in its place the site just shows

Warning: fgets() [function.fgets]: SSL: Connection reset by peer in /home/williem/public_html/wp/wp-content/plugins/constant-contact-api/class.cc.php on line 1913