1) WordPress White Screen of Death
This is a common error, here there is no error message displayed. The lack of error messages or code makes it difficult to pinpoint what the issue could have been, in fact, it makes it difficult to explain for a third party.
The issue has to do with PHP memory or basically a server configuration issue.
The first suspect in this issue is your hosting provider. If you have two or more website hosted with your provider, good you check the others. Else if you have friends using the same provider, you can check their website. The good news here is it most like would be a temporary issue that would get fixed soon. Else alternative will be to deactivate your plugins and themes, activate them back one after the other while checking for the culprit that could have caused the problem.
2) WordPress 404 Error
This error is common and usually come up as a result of a need to reconfigure your permalink. You will notice this error when you visit a post or page on your website. Apart from permalink issues, this error can arise as a result of tampering with the .htaccess file on your website.
To resolve this error your first point of call should be your permalink, which you can access via settings on your dashboard. Check your settings, ensure all is okay and click the save changes icon.
This should resolve this problem else you will need to access your .htaccess file.