I solved the issue and thought I'd post the answer in case anyone else is puzzled by this behavior. SharePoint's "Minimal Download Strategy" was enabled on our site which was causing the script not to execute. See this article for more information.
http://thebitsthatbyte.com/jquery-in-sharepoint-2013-script-editor-web-part-not-executing-when-minimal-download-strategy-mds-enabled/
Thanks again for SPServices!
http://thebitsthatbyte.com/jquery-in-sharepoint-2013-script-editor-web-part-not-executing-when-minimal-download-strategy-mds-enabled/
Thanks again for SPServices!