Navigate to a non SSL part. Find an image, right click on it, and go "display image".
You want just whatever that picture is.
In the address line, add an "S" to "http" so it says "https://yourserver/yourfolder/yourfile.jpg"
This will either work, or it won't. If it does, this is a web server problem, kick it upstairs for whomever does that. If it doesn't, chances are the certificate is bad. (See the little lock, go in there and look for the cert.)
Some ahem.... "network admins" have been turning off SSL v3.0 using firewalls, and fucking up all sorts of shit.
https://zmap.io/sslv3/browsers.html This will tell you if your browser has been fucked with to turn off SSL 3.0. If there IS NOT a warning, then it has been turned off.
Is this a work computer?
10 to 1 this is over reacting hysteria over the POODLE security problem. It gets into cryptographic balls-deep in networking real fast so don't start reading unless you have a couple hours.
In short, contact the admin, see if anybody else is having problems.