My WordPress site isn't performing well after moving to DigitalOcean.

I recently moved to DigitalOcean from HostGator & after moving I am seeing drop in my PageSpeed score. Many things are not working like, gZip compression, Leverage browser caching, etc..

https://developers.google.com/speed/pagespeed/insights/?url=https%3A%2F%2Fdzire2dzine.com%2F&tab=desktop

W3TC Compatibility Test:

Server Modules & Resources:

Plugin Version: 0.9.4.1
PHP Version: 5.3.29;
Web Server: Apache
FTP functions: 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: Installed (required for HTML Tidy minifier suppport)
Mime type detection: Installed (Fileinfo) (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 detected (required for disk enhanced Page Cache and Browser Cache)
mod_env: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_expires: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_headers: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_mime: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_rewrite: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_setenvif: Not detected (required for disk enhanced Page Cache and Browser Cache)
Additional Server Modules

New Relic
PHP version: Supported
Operating System: Supported
Web Server: Supported