Same Enteries in mysqld.log
It seems that your MySQL server is configured as a slave server in a master - slave replication setup. If all you want is for the error messages to go away, then you can simply do:

STOP SLAVE; 

And to remove the slave configuration:

RESET SLAVE; (Use RESET SLAVE ALL; on MySQL 5.5.16 and later versions.)

Also edit /etc/my.cnf (and any included .cnf files inside it) to remove any lines starting with master- and replicate-. 

While the above is sufficient to prevent the server from attempting further replication, you can also restart mysqld to remove slave status information available from commands such as SHOW SLAVE STATUS\G.