MySQL strange behavior on Ubuntu 14.04 with VestaCP installed, how to win?

Question

MySQL

Hello!
The situation is this. Decided to play around with DigitalOcean. Started a droplet with Ubuntu 14.04, on which I installed the VestaCP panel, which, in turn, took and pulled up AMP and the rest. MySQL behaves strangely: when the system is started/restarted, the process seems to start, but it does not allow to connect to itself (writes the standard error ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/run/ mysqld/mysqld.sock' (2) ). If you do:

service mysql stop
service mysql start

starts working fine.
At the same time:
/etc/init.d/mysql stop - normally stops
/etc/init.d/mysql start- does not start, without swearing at the same time - it just freezes until you press ctrl + c.
What could be the reason for such a strange behavior of the subject?
Thank you.
root 1252 0.0 0.0 4444 332 ? S Jul24 0:00 /bin/sh /usr/bin/mysqld_safe
mysql 2558 0.1 7.7 533968 39012 ? Sl 00:01 0:52 /usr/sbin/mysqld --basedir=/usr --datadir=/var/lib/mysql --plugin-dir=/usr/lib/mysql/plugin --user=mysql -- log-error=/var/log/mysql/error.log --pid-file=/var/run/mysqld/mysqld .pid --socket=/var/run/mysqld/mysqld.sock --port=3306
mysql 21379 0.1 6.3 356124 31708 ? Ssl 11:37 0:00 /usr/sbin/mysqld
root 21520 0.0 0.1 8864 644 pts/0 S+ 11:37 0:00 grep mysql
The output of tail -n 100 /var/log/mysql.log is empty. netstat
output : https://dl.dropboxusercontent.com/u/11461820/do_ne...

Answer 1

Stop mysql, then start and show the results of these commands:
ps auwx | grep mysql
tail -n 100 /var/log/mysql.log
netstat -npl

Answer 2

Updated the title post.

Answer 3

Is anything written to /var/log/mysql/error.log ?

Answer 4

Thought I was the only one with this problem.
How did you solve this problem?
At home, I see (htop) when I do service mysql stop that the service has stopped and after a couple of moments it starts again by itself.
How to fill his hands on his hands, so that he would not start without permission?