[Ntfu2]

I'm not familiar with plesk, but in your php.ini file there should be a max_execution_time variable or something similar, raise the limit to 60. That will get rid of that error. But you need to find our which script and why its taking longer then 30 seconds to execute first.

If MySQL is automatically shutting down, then you have some configuration issues. Try emailing your hosting company and tell them that MySQL keeps crashing, and see if they can look into it for you.