Long story short, your website takes too much processor power. When you hit the processing power limits, your account will be suspended for 24 hours. However, if this happens very often, it simply means that your website consumes too much processing power. If that’s the case, the best choice would be to upgrade your account to XVHOST, because you’ll get far more processor power there.
We use two different metrics to measure CPU usage. We track the number of CPU seconds you use, displayed as CPU limit, and the number of entry processes, abbreviated as EP.
The number of CPU seconds is the number of seconds you are consuming one full processor core to calculate the pages on your website. This is scaled to how much of the processor you use, so 1 second of 20% core usage is 0.2 CPU seconds. This mostly has to do with how much work needs to be done to render a specific page.
Entry processes are the number of PHP processes which are created to render your website. Simply put: every time a request is received for a PHP page, a new process is created for your user. This is what’s known as an Entry Process. The number of entry processes has to do with the number of page views your website receives.
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In your plugins list, I see you’re using an Ajax Shoutbox. Does that plugin updates posts in real time? If so, that’s considered a chat script, which are prohibited because they consume so much server power. Can you please try to disable that addon and check if that prevents your account from being suspended?