hi, Deep u have a nice config. ! btw Server load is nothing to do with Zombie. As Zombies are already dead... they dont have much to do with server loadd.
now on the reason of that.. well i think i cant say anything on that by not seeing the server...

Btw you ca nchec kthe mySQL.. coz thwere is a latest exploits is released.
A .diff file, applied to the MySQL 5.0.0-alpha source distribution will allow building a MySQL client that can be used to connect to a remote MySQL server with no password.
This could be a reason.. some one may applying this....

as mySQL AB hasn't released a patch you may try to close the remote port to get rid of that...
btw here is that exploit code....
Code:
1941,1956c1941,1942
< if (passwd[0])
< {
< if (mysql->server_capabilities & CLIENT_SECURE_CONNECTION)
< {
< *end++= SCRAMBLE_LENGTH;
< scramble(end, mysql->scramble, passwd);
< end+= SCRAMBLE_LENGTH;
< }
< else
< {
< scramble_323(end, mysql->scramble, passwd);
< end+= SCRAMBLE_LENGTH_323 + 1;
< }
< }
< else
< *end++= '\0'; /* empty password */
---
> sprintf(end,"\x14\x00");
> end+=2;