First of all, am I mistaken? Doesn't your plugin (if settings are correct) fix things like an image on my domain being called via http -- correcting it automatically to https? On my page, I have a few images that I added with http... even though it is an https page, they are still being called via http.
Here is how I have the settings:
checked - Internal HTTPS Elements
checked - External HTTPS Elements
checked - Bypass External Check
Here is the URL:
And while you are there, please check out all of the other lovely http. Some I know I can fix, but the plugin ones are most difficult for me to figure out.