Are you using production account or sandbox account for docusign connect.. You must include the protocol HTTP or HTTPS in the web address for sandox account and you must include HTTPS:// in the web address for Production accounts because SSL is required in Production account. Docusign Connect sends the xml to the default ports of 443 for HTTPS: and 80 for HTTP. If you cannot use port 443 for Production contact DocuSign to review possible options. Check this link for docusign connect technical information.. Hope you have handled the server side of it (i.e, the url which you have mentioned in the URL to publish) inorder to get the response from the docusign to the desired url when some event happens..
For example:
If you are using sandbox docusign account for Connect means, URL to publish as to be something like this http://domain.com/Home/DocuConnect (Hosted application port number as to be 80). For sandbox account,docusign connect are enabled defaultly for all the users.
If you are using production account for Connect means, URL to publish as to be something like this https://domain.com/Home/DocuConnect (Hosted application port number as to be 443). In some cases docusign connect are enabled based on the respective subscription plans. To check that go to features tab see for Docusign Connect and try to tick the checkbox and if it is not checked then you got to contact the Docusign Account Manager.