Here is the config file for myDomain.com:

<VirtualHost *:8000>
    ServerAdmin info@myDomain.com
    ServerName www.myDomain.com
    ServerAlias myDomain.com
    DocumentRoot /var/www/myDomain.com/public_html
    <Directory />
        Options FollowSymLinks
        AllowOverride All
    </Directory>
    <Directory /var/www/>
        Options Indexes FollowSymLinks MultiViews
        AllowOverride None
        Order allow,deny
        allow from all
    </Directory>

    ScriptAlias /cgi-bin/ /usr/lib/cgi-bin/
    <Directory "/usr/lib/cgi-bin">
        AllowOverride None
        Options +ExecCGI -MultiViews +SymLinksIfOwnerMatch
        Order allow,deny
        Allow from all
    </Directory>

    ErrorLog ${APACHE_LOG_DIR}/error.log

    # Possible values include: debug, info, notice, warn, error, crit,
    # alert, emerg.
    LogLevel warn

    CustomLog ${APACHE_LOG_DIR}/access.log combined
</VirtualHost>

myDomain.com refers to the default settings but www.myDomain.com opens the right index.html.

I see you are using port 8000 in your VirtualHost directive, which makes me think you are using Apache behind a proxy server. If that is the case, it would also be necessary to alter the configuration of the proxy server.

Just as a check on this configuration, what happens when you try mydomain.com:8000 in your browser?

I have installed and configured Varnish on my VPS. mydomain.com:8000 loads nothing. There was an entry inside /etc/hosts for mydomain.com with IP of 127.0.0.1 which I removed. Is there somewhere else like this?

I have not messed with Varnish before: but, my thinking is it might be a good idea to get your websites working properly first before installing any sort of caching application.

This way you will have one less "moving part" to deal with as you trouble-shoot.

Having said that, I have never used Varnish, so I am just talking off the top of my head.

The place to look now is at your Varnish configuration. I haven't used Varnish myself. I just spent 5 minutes reading about it to try to find an answer, so this is far from an expert opinion. My guess is that you need to look at the regex that matches www.mydomain.com. It should be altered to also match my domain.com or add another one to match that.

It's likely that mydomain.com:8000 gets nothing because port 8000 is closed. I wouldn't go to the trouble of changing anything just to test that.

I'm not sure about the DNS record is it correct?

It looks good to me.

Here is the solution I found : Just deleted the CNAME to WWW and added an A record for it, Bingo it Works right now.

maybe try:

 ServerName myDomain.com
 ServerAlias www.myDomain.com

Not working. :(