This is the bit of Phrozen's PHPInfo that proves that MySQL is installed...
yours doesn't have that.mysql
MySQL Support enabled
Active Persistent Links 0
Active Links 0
Client API version 3.23.32
MYSQL_MODULE_TYPE builtin
MYSQL_SOCKET /var/lib/mysql/mysql.sock
MYSQL_INCLUDE
MYSQL_LIBS
Directive Local Value Master Value
mysql.allow_persistent
On On
mysql.default_host
no value no value
mysql.default_password
no value no value
mysql.default_port
no value no value
mysql.default_socket
no value no value
mysql.default_user
no value no value
mysql.max_links
Unlimited Unlimited
mysql.max_persistent
Unlimited Unlimited