I am sorry to hear that your email accounts are sending out random messages. I have below listed some information that may help.
-I would recommend trying a soft reset on the device (removing the battery for a few seconds and placing it back in)
-I would also recommend turning the device off, and testing your actual email accounts outside of the phone. ***If the issue is still occurring, you know it is not the device that is having the problem and may need to address it with your email providers.
-I have listed the instructions below on removing the email accounts from your device (just in case). Click HERE.
***If it is only on the device that you are having the problem with, and you cannot remove the email accounts, I would recommend performing a hard reset on the device. (Please be advised that this will erase all information on your device, including Google account, system and application data, and downloaded applications). It will not erase SD card files and system bundled applications. Click HERE for instructions to perform a hard reset.
Hope this helps! 
