I am helping a friend setup a new DNS domain (asaur.com) for his Weebly website.
Previously the site was available at http://asaur.weebly.com/, only HTTP, trying HTTPS would redirect back to HTTP.

The automated DNS setup would try to create these records:

@ IN A 199.34.228.65
www IN CNAME @

But the automated DNS setup was leading me to login to the wrong DNS provider, so I could not use it.

Then I have associated the domain asaur.com following the manual DNS setup instructions. And these records were defined:

@ IN A 199.34.228.164
www IN A 199.34.228.164

Now I see a message in the domain management page saying the domain was successfully associated.
But I can't connect the domain to the website.

Now the following happens:
http://asaur.com/ responds with an HTTP 301 redirect to http://www.asaur.com/
http://www.asaur.com/ responds with 404

The SSL certificate in use is a self signed certificate with:
subject=OU = "No SNI provided; please fix your client."
CN = invalid-sni.invalid

If this bad SSL certificate is accepted by the client, then:
https://asaur.com/ responds with an HTTP 301 redirect to https://www.asaur.com/
https://www.asaur.com/ responds with 404

What am I doing wrong?
Are the DNS record correct?