Ssl – RabbitMQ with a LetsEncrypt certificate

I have been trying to install my LetsEncrypt generated certificates into my rabbitmq server but have had no luck.

To test things out with out having to fight permission issues I have copied the pem files from

/etc/letsencrypt/live/<domain>/

to my home directory. I also copied the cacert.pem file to my home directory from the location I found it at:

/home/<user>/.local/share/letsencrypt/lib/python2.7/site-packages/requests/cacert.pem

I decided to start by trying to install the certificates on top of the management plugin by editing the rabbitmq.config to add

{rabbitmq_management,
  [%% Pre-Load schema definitions from the following JSON file. See
   %% http://www.rabbitmq.com/management.html#load-definitions
   %%
   %% {load_definitions, "/path/to/schema.json"},
   %% Log all requests to the management HTTP API to a file.
   %%
   %% {http_log_dir, "/path/to/access.log"},
   %% Change the port on which the HTTP listener listens,
   %% specifying an interface for the web server to bind to.
   %% Also set the listener to use SSL and provide SSL options.
   %%
    {listener, [{port,     12345},
                {ip,       "127.0.0.1"},
                {ssl,      true},
                {ssl_opts, [{cacertfile, "/home/<user>/cacert.pem"},  %% File pulled from /home/<user>/.local....
                            {certfile,   "/home/<user>/cert.pem"}, %% File pulled from /etc/letsencrypt/live/<domain>/cert.pem
                            {keyfile,    "/home/<user>/privkey.pem"}]}]}  %% File pulled from /etc/letsencrypt/live/<domain>/privkey.pem

However when attempting to navigate to the management plugin port my rabbitmq log files contained a tls_alert

=ERROR REPORT==== 14-Dec-2015::03:08:05 ===
    application: mochiweb
    "Accept failed error"
    "{error,{tls_alert,\"decode error\"}}"

Am I using the correct files or is there perhaps a deeper issue I am running into?

UPDATE Certificate Generation Details:
Lets encrypt was installed by cloning the git repository at:

git clone https://github.com/letsencrypt/letsencrypt

Certificate Creation Details. The server certificate was created and installed using the Lets Encrypt tool suite with the following command.

./letsencrypt-auto --server https://acme-v01.api.letsencrypt.org/directory -d <domain>

A note is that it is a sub domain certificate. E.g., xxxx.domain.com.

UPDATE 2
I have verified that the certificates are valid and working for the AMQPS portion of the problem. I have modified the main config option to contain

   {ssl_listeners, [5671]},

   {ssl_options, [{cacertfile,           "/etc/rabbitmq/chain1.pem"},
                   {certfile,             "/etc/rabbitmq/cert1.pem"},
                   {keyfile,              "/etc/rabbitmq/privkey1.pem"},
                   {verify,               verify_none},
                   {fail_if_no_peer_cert, false}]}

See attached image for screen shot of the SSL enabled Pika clients