BPS does not normally cause any memory issues or problems since BPS uses very little memory.
What can cause memory issues/problems is if you have invalid htaccess code that is causing continuously redirect looping or your Server or another plugin is already handling error logging and this causes a redirect loop. Check your Server logs for this error – Request exceeded the limit of 10 internal redirects.
If you see this error in your Server logs then try turning off Security Logging.
You can add custom .htaccess code to BPS Custom Code to save it permanently. See the Blue Read Me help button on the Custom Code page for how use Custom Code, setup steps, etc.