How to fix website crawling errors on WP by gtmetrix service?

Question

HTML

There is a site RBHD.ru it works on WordPress 4.0 beta 4.
The W3 Total Cache plugin is installed there
Hosting from nic.ru tariff 202 (mod_deflate is not included on the rucenter from the principle on shared hosting)
The plugin gives this when checking compatibility:

Server Modules & Resources:

Plugin Version: 0.9.4
PHP Version: 5.3.13;
Web Server: Apache
FTP functions: Not installed (required for Self-hosted (FTP) CDN support)
Multibyte String support: Installed (required for Rackspace Cloud Files support)
cURL extension: Installed (required for Amazon S3, Amazon CloudFront, Rackspace CloudFiles support)
zlib extension: Installed (required for compression support)
Opcode cache: Not installed
Memcache extension: Not installed
HTML Tidy extension: Not installed (required for HTML Tidy minifier suppport)
Mime type detection: Not installed (required for CDN support)
Hash function: Installed (hash) (required for NetDNA / MaxCDN CDN purge support)
Safe mode: Off
Open basedir: Off
zlib output compression: Off
set_time_limit: Available
mod_deflate: Not installed (required for disk enhanced Page Cache and Browser Cache)
mod_env: Installed (required for disk enhanced Page Cache and Browser Cache)
mod_expires: Installed (required for disk enhanced Page Cache and Browser Cache)
mod_headers: Installed (required for disk enhanced Page Cache and Browser Cache)
mod_mime: Installed (required for disk enhanced Page Cache and Browser Cache)
mod_rewrite: Installed (required for disk enhanced Page Cache and Browser Cache)
mod_setenvif: Installed (required for disk enhanced Page Cache and Browser Cache)
Additional Server Modules

New Relic
PHP version: Supported
Operating System: Supported
Web Server: Not Supported. (Apache 1.3 See NewRelic Requirements page.)
WordPress Resources

/home/microzaimy/rbhd.ru/docs/.htaccess: OK
/home/microzaimy/rbhd.ru/docs/wp-content: OK
/home/microzaimy/rbhd.ru/docs/wp-content/uploads/2014/08: OK
Fancy permalinks: /%postname%/
WP_CACHE define: Defined (true)
URL rewrite: Enabled
Network mode: No

When I scan the site on gmetrix, after clicking the empty all caches button, it gives this
gtmetrix.com/reports/rbhd.ru/ph5326LN
And when I click Re-test page, I get this
gtmetrix.com/reports/rbhd.ru/WaAsa0zW
I don’t understand why Enable gzip compression pops up and why the W3TC plugin does not gzip its glued minify versions of js and css, and also Specify a Vary: Accept-Encoding header pops up, and why does Leverage browser caching pop up?
It's also not clear why it pops up.

http://rbhd.ru/wp-admin/admin-ajax.php?action=siteorigin_panels_post_css&post=4&layout=964d249a&ver=1.5

As far as I understand, this admin panel is loading, is it not possible to disable it for ordinary users?
here is the .htaccess if needed.

Answer 1

Regarding rbhd.ru/wp-admin/admin-ajax.php?action=siteorigin_... this is a feature of the PageBuilder plugin that came with the theme, it was necessary to put Inline CSS in its options.
I solved the rest by changing the plugin to the Hyper Cache+Autoptimize+Speed ​​Bosster Pack bundle. I
immediately got stable ratings of 95% everywhere A, it remains only to fasten the CDN.
Of course, when I put adsense on the site, the rating dropped to 88% B. But here you already have to choose, either extra income or speed.