It's not switching into SSL mode because either you've not supplied an HTTPS address in your configure.php file, or haven't set ENABLE_SSL to 'true' (with quotes), or you didn't make the file writable before uploading changes to it.
(Yes I know you said you thought you did ... but ... apparently one or more of those things didn't happen as you thought it did ... or it would be working.)
I suspect the ENABLE_SSL setting isn't correct.



