02/19/2013 at 5:02 pm #251860
The second screen shot has the System widget … it is the block with the name “System”.
Assuming the webhost is actually honoring the 512MB set for PHP memory, that is fine. So memory is not the issue. I see the PHP Max Script Execution Time is set at 30 seconds. Generally that should be enough for WordPress to upgrade a plugin as the server would have to be slow or overloaded at the moment for an upgrade to fail. So, I guess, try increasing that to say 90 seconds.