Hi Westerdaled,
When you make some updates ( e.g plugins or probably work on your files e.g. from the editor-e.g index.php, functions.php) e.t.c. the updated changes sometimes will not reflect by the time you are logged out of your account but will reflect when you logged in. To solve this issue, simply deactivate all your plugins, clear the browser cache ( delete cookies and history), then log out. Thereafer, log in again, and activate all the plugins back. But the W3 total cache may not activate back automatically, you will have to make sure it is activated back.
Secondly, one sure step to know if W3 total cache is causing problem is by using Google page speed ( the address is https://developers.google.com/speed/pagespeed/insights/). if the preview is broken or not showing exactly like your normal website, then the W3 total cache is giving you problem ( believe me, it once happened to me, cos the minify settings was causing compatibility problem).
I plan on publising a detailed troubleshooting experience guide on my website for the W3 total cache, however you can read related help article on this on my page.
Regards.