Conflict with Varnish Cache

I’ve WP 4.7 and AS Version 3.3.4 installed on DreamHost (DreamPress), which uses Varnish for caching. When Awesome Support is enabled it prevents Varnish from caching the whole site.

According to DreamHost:

Varnish is not able to cache the site due to a script or plugin setting no-cache headers on your site. It is setting no-cache rules or max-age limits set to 0.

Set-Cookie:
_wpas_session=30a6a8e16cdc68b8bf5d94a7f7735aa4%7C%7C1482100871%7C%7C1482100511;
expires=Sun, 18-Dec-2016 22:41:11 GMT; Max-Age=1800; path=/
Cache-Control: max-age=0
Expires: Sun, 18 Dec 2016 22:11:11 GMT
X-Cacheable: NO:Not Cacheable
Accept-Ranges: bytes
X-Varnish: 1787780833
Age: 0
Via: 1.1 varnish

I do have to have Varnish to cache the site.
Is anyone else having a similar issue?
Is there a way to fix this?

Thank you!